GIFT or c. .* 4-
Astr-onoialcal Society
of the Pacific
AN INVESTIGATION
OF THE
ROTATION PERIOD OF THE SUN
BY SPECTROSCOPIC METHODS
BY
WALTER S. ADAMS
ASSISTED BY JENNIE B. LASBY
L? 8R ARY
Or TVJS
ASTRONOMICAL SOCIETY
OF THE PACIFIC
WASHINGTON, D. C.
PUBLISHED BY THE CARNEGIE INSTITUTION OF WASHINGTON
191 1
At^w';".-5 °st J«°-°ccc''
CARNEGIE INSTITUTION OF WASHINGTON
PUBLICATION No. 138
PAPERS OF THE MOUNT WILSON SOLAR OBSERVATORY, VOL. I, PART I
UEOKOE E. HALE, Director
AblRONOMY DIPT.
Xortuootj
J. 8. Gushing Co. — Berwick & Smith Co.
Norwood, Mass., U. 8. A.
TABLE OF CONTENTS.
PAGE
INTRODUCTION I
OBSERVATIONS AND METHODS OF REDUCTION.
1. OBSERVATIONS OK 1906-1907 3
2. RECORD OF OBSERVATIONS, 1906-1907 6
3. METHODS OF MEASUREMENT AND REDUCTION u
4. SOURCES OF ERROR 13
5. RESULTS FOR THE INDIVIDUAL PLATES, 1906-1907 15
6. OBSERVATIONS OF 1908 59
7. RECORD OF OBSERVATIONS, 1908 62
8. RESULTS FOR THE INDIVIDUAL PLATES, 1908 66
9. SPECIAL OBSERVATIONS ON THE a LINE OF HYDROGEN 103
10. SPECIAL OBSERVATIONS ON X 4227 OF CALCIUM 107
DISCUSSION OF THE RESULTS.
n. SYSTEMATIC DEVIATIONS OF VELOCITY OF ROTATION DERIVED FROM VARIOUS LINES OF THE REVERSING LAYER 109
12. INCREASE OF DEVIATIONS IN HIGHER LATITUDES ui
13. MEAN RESULTS FOR THE REVERSING LAYER. - VARIABILITY OF THE SOLAR ROTATION. COMPARISON OF RE-
SULTS WITH THOSE OF OTHER OBSERVERS 112
14. PROBABLE ERRORS 117
15. COMPARISON OF RESULTS FOR SUN-SPOTS, FACUIJE, FLOCCULI, REVERSING LAYER, THE a LINE OF HYDROGEN
AND X 4227 OF CALCIUM 118
16. A CASE OF LARGE PROPER MOTION IN THE REVERSING LAYER 122
17. DETERMINATION OF THE SOLAR ROTATION WITH THE a LINE OF HYDROGEN 126
18. DETERMINATION OF THE SOLAR ROTATION WITH X 4227 OF CALCIUM 127
19. COMPARISON OF RESULTS FROM ALL THE LINES INVESTIGATED 129
20. GENERAL SUMMARY 130
BIBLIOGRAPHICAL REFERENCES 132
iii
INTRODUCTION.
ONE of the earliest of the applications of the Doppler-Fizeau principle in astrophysics was to the prob-
lem of the rotation of the sun. The detection of the minute displacements of the spectrum lines at the
sun's limb by Vogel in 1871 (>)* not only furnished an invaluable proof of the validity of the principle,
but also indicated the possibility of obtaining, with the aid of more powerful apparatus, a measure of the
rate of rotation by an independent method free from many of the difficulties possessed by such methods
as depend upon direct observations of the solar surface. The invention of the diffraction grating made
it possible to apply to the study of the solar spectrum spectroscopes of much greater power than any
previously available, and with its aid Young in 1876 (2) was able to measure the displacements of the
spectrum lines at the sun's equator with a considerable degree of accuracy, and to show that the results so
obtained were in satisfactory agreement with those derived from observations of the sun-spots. Shortly
after, Langley (3) and Cornu (4) made an interesting application of the principle by showing how lines
due to the earth's atmosphere may at once be distinguished from those of solar origin by their freedom from
displacement when the spectra of the opposite edges of the sun are observed simultaneously.
In 1888 Duner began at Upsala his celebrated investigation of the rotation of the sun (s). This work,
continued throughout 1889 and 1890 and repeated in the years 1901 to 1903, is without doubt the standard
of reference among those who have since undertaken the study of this problem. Duner in this investiga-
tion made use of the suggestion by Langley already mentioned, and by employing atmospheric lines as his
standards of reference was enabled to make all of his measures differential, and so to attain an extraor-
dinarily high degree of precision. His determinations are grouped about points separated by intervals
of 15° between the solar equator and 75° of heliographic latitude, a point far beyond the limit reached in
sun-spot observations. With the aid of these results he was able to discuss exhaustively the validity of the
various formulae connecting the rotation period with the latitude proposed by Carrington, Faye, and
Spoerer as the result of their observations of sun-spots between the equator and 45° of latitude. From
this discussion he concluded that Faye's formula most closely represented his independent observations
in the higher latitudes. Many references will be made to this memoir of Duner in the following pages.
Following Duner's earlier work some photographic observations were made by Jewell at Baltimore (6),
but no details of the results obtained by him have been published. In 1887 Crew (?) also took up the prob-
lem and obtained a series of values differing widely from those of Duner. It seems probable that some
source of systematic error was present in these observations, a possible cause, as Crew himself suggested,
being that arising from displacements of the slit due to heating by the sun's image.
The most recent investigation was that made by Halm at Edinburgh (8) during the years 1903 to 1906,
and led to results of the highest accuracy and importance. Like Duner, Halm made use of the differential
method, and since the lines employed by him are the same as those of Duner, the two series of results are
strictly comparable. In two essential features the instruments used by Halm differ from those of most
previous investigators. The first was in the use of a heliometer to form the solar image, it being possible
by movement of the divided object-glass to pass rapidly from one extremity of the solar diameter to the
other. The second was in the employment of a fixed horizontal spectroscope in place of an instrument
attached to an equatorial telescope and moving with it. The advantages of such a type of spectroscope
can hardly be questioned, and it was probably mainly due to this cause that Halm's observations showed
* Numbers in parenthesis indicate references to literature on p. 133.
INTRODUCTION.
% c' c'£ £'•»• ' ' ^"c '
such a high degree of internal agreement, the probable errors being only about one-half of those of Duner.
It was as a result of these observations that Halm concluded a variable period of rotation for the sun, his
determinations for separate years showing large systematic deviations from each other. In a final paper
on the subject (9) he also discussed the later observations of Duner and arrived at the conclusion that these,
like his own, gave evidence of a periodic variation in the sun's rate of rotation. The importance of the
question thus raised can hardly be overestimated, and it will perhaps be the main consideration in future
investigations of this problem.
All of the preceding determinations of the rotation period of the sun, with the exception of that of
Jewell, have been based on visual observations. While it is probable that the photographic method does
not possess tor such an investigation the overwhelming advantages which it has in the case of faint and
difficult spectra, it has certain points of superiority which render an independent determination by its aid
of the greatest value. Two of these are especially important. The visual determinations have been
based upon a very limited number of lines in the less refrangible part of the spectrum. With the photo-
graphic method it is possible to employ a much larger number of lines and to utilize the more refrangible
part of the spectrum where the lines are more numerous and the variety of elements which can be
employed correspondingly greater. These facts were fully realized at the time of the establishment of the
Mount Wilson Solar Observatory, and plans were made for taking up a photographic investigation of the
rotation period of the sun as soon as suitable instrumental equipment was ready. With the completion
of the Snow telescope, and the powerful i8-foot spectrograph used in conjunction with it, a combination
of apparatus admirably adapted for the work was available, and accordingly in the spring of 1906 the first
observations were begun. These were continued until June, 1907, after which all observational work on
the rotation of the sun was transferred to the tower telescope.
Since the investigation was commenced five series of observations have been made and are discussed
in the pages which follow. Two of these deal with lines selected from the spectrum of the general reversing
layer, two with the a line of hydrogen, and the fifth with X 4227 of calcium. The lines of hydrogen and
calcium give results differing widely from those obtained for the reversing layer, and so, of course, should
be treated individually. Moreover, since the two series of determinations for the reversing layer are
separated by a considerable interval of time, and the apparatus employed in the second series was entirely
different from that in the first, it seems desirable to treat them separately in the present discussion. Brief
accounts of the main results of these two series of observations have already been published, the first in
1907 (10) and the second in 1909 (n). A detailed account of the observations and reductions follows in
Sections i-io. The discussion and comparison of the results will be considered in Sections 1 1-20.
OBSERVATIONS AND METHODS OF REDUCTION.
i. OBSERVATIONS OF 1906-1907.
THE Snow telescope consists of a ccelostat mirror of 30 inches (76.2 cm) diameter mounted equatorially,
which throws a beam of light upon a second plane mirror 24 inches (61.0 cm) in diameter mounted south of
it. From this in turn the light passes to a concave mirror of 24 inches aperture and 60 feet (18.3 m) focal
length placed at the north end of the telescope house. All of the mirrors are mounted upon masonry piers
and are supplied with slow motions, so that the illumination of the concave mirror may be controlled from
the ccelostat and the position of the image varied according to the instrument with which it is to be used.
The direction of the beam from the second plane mirror to the concave mirror is not horizontal but is
inclined at an angle of 5°, owing to the nature of the ground on which the building is placed. For a similar
reason the track upon which the second mirror mounting moves does not point north and south but at an
angle of 15° to this direction. The ccelostat mirror may be moved east and west upon a track and the
second plane mirror north and south (more accurately northeast and southwest) in order to provide for the
variation in the sun's declination. The concave mirror can be moved along the direction of the optical axis to
allow for focusing of the solar image, and by simple rotation of the mirror the image may be thrown upon any
instrument desired. The image formed by the concave mirror has a mean diameter of 6.7 inches (17.0 cm).
The 1 8-foot (5.5 m) spectrograph used in this investigation and for many other spectrum studies as well,
in particular that of the spectra of sun-spots, is placed about 18 inches (45.7 cm) to one side of the optical
axis and about 12 inches (30.5 cm) above it, its tube lying directly above the 5-foot spectroheliograph. It
is of the Littrow, or auto-collimating, type, with a lens 4 inches (10.2 cm) in diameter used with a plane
grating of the same aperture. Both lens and grating are supported on a cast-iron base. The lens is focused
by a screw and moves in ways parallel to the optical axis, and may be clamped in any desired position.
The grating is mounted in the face of a metal box which rests upon a rotating table, its position being
defined by four screws which touch its surface lightly. The original purpose of the metal box was to provide
for temperature control, if needed, but in the present investigation the exposures have been so short as to
render this unnecessary. Reflections from the surface of the lens are prevented from reaching the plate by
a narrow bar placed across the lens, and in addition a system of diaphragms is provided along the tube of
the spectrograph. This tube is of wood covered with sheet iron and its central section immediately over the
spectroheliograph can be rotated out of place in order to give free access to the prism box of the latter
instrument.
The slit and plate-holder are carried by a single large casting, the base of which rests on a masonry pier.
The distance between the center of the slit and the center of the plate-holder opening is about 3 inches (7.6
cm), an amount too small to introduce any appreciable astigmatism into the spectrum lines. The plate-
holder may be moved up and down by a rack-and-pinion in order to provide for taking several exposures on
the same relate. In front of the spectrograph and about 6 inches (15.2 cm) below the slit is a large cast-iron
bracket which serves to support the various auxiliary attachments used in conjunction with the spectrograph.
The marked advantages to be derived from photographing the opposite edges of the sun simultaneously,
and so doubling the displacements to be observed, led to the employment of a modified form of the device
first suggested by Langley. A brass casting with a circular opening about 7 inches (17.8 cm) in diameter
carries two brass arms, each of which forms a radius of this opening and rotates about its center. On the
outer end of each arm is mounted a small diagonal prism, its mean distance from the center of rotation
3
4 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
corresponding to the mean radius of the sun's image. These prisms are capable of adjustment toward and
away from the center in order to allow for variations in the diameter of the sun. At the inner ends of the
brass arms and immediately in front of the slit are two other diagonal prisms which receive the beams of
light from the first pair. These prisms taper at the end to a width of 0.5 mm, and are mounted with their
edges about 0.25 mm apart. The latter distance, accordingly, represents the separation on the photo-
graphs of the spectra of the two opposite edges of the sun. At the outer ends of the arms are pointers by
means of which readings are made upon a silvered circle concentric with the opening in the brass casting and
graduated to half degrees. The whole apparatus is mounted upon the cast-iron bracket already referred to,
and its position with reference to the slit is accurately defined by two taper pins which enter the bracket.
The grating which has been used throughout this investigation is one of the earlier Rowland gratings,
with ruled surface 3.25 by 1.75 inches (8.3x4.4 cm), and has 14,438 lines to the inch (570 lines to the
millimeter). The spectra in the second, third, and fourth orders on one side of the normal are exception-
ally bright and the definition is excellent, in spite of the great focal length of the spectrograph. For all
of the work on the rotation of the sun with this spectrograph the fourth order has been used, the great
linear scale thus obtained being of the utmost value. In this order, at X 4200, i mm = 0.71 Angstrom.
The importance of accurate adjustment of the spectrograph in a study of small displacements can not
be too highly emphasized. In the present investigation the greatest care has had to be taken to guard
against unequal illumination of the collimating lens and grating surface by the light from the opposite edges
of the sun. It is evident that a small change in the position of the diagonal prisms near the slit would affect
this illumination most seriously. Accordingly, before each exposure it has been my practice to occult the
images of the two edges in succession and to examine the character of the illumination from each edge.
The accuracy of this test has been examined photographically and it has been found to be capable of giving
good results when the slit is narrow and the illumination is fairly weak. In addition to this a valuable
check upon the accuracy of the adjustment is furnished by the relative density of the pair of spectra on the
photographic plates, and no plates have been included in the series used for measurement in which there is
any marked difference in the intensity of the spectra of the two edges of the sun. A comparison of the ratio
of aperture to focal length in the case of telescope and spectrograph shows that provided the adjustment is
reasonably accurate the margin of safety for full illumination of the grating is considerable. In the case of
the telescope the ratio is i : 30, while in that of the spectrograph for the full aperture of the collimating
lens it is i : 54, or, for the surface of the grating actually employed, about i : 72.
A brief description of the actual procedure followed in taking the plates may be of value. The auxiliary
diagonal prism apparatus is placed in position in front of the spectrograph and the image of the sun cen-
tered upon it and focused on the slit. The image is then slightly displaced by rotation of the ccelostat
mirror, the clock stopped, and the points of transit observed of a spot or other well-defined object on' the
solar disk across the position circle. Usually several sets of readings have been made and a mean taken.
Since the orientation of the image with this form of coelostat mounting depends upon the position of the
second plane mirror on its track as well as upon that of the ccelostat carriage, these observations for a line
of reference have been made before each series of plates, and in most cases repeated after the series, espe-
cially if the interval covered is at all long. Occasionally the transits have been obtained by rotation of the
ccelostat mirror by means of its slow motion, and comparison with the values secured when the image is
allowed to drift shows that there is little choice between the two methods. The range of several such
determinations usually amounts to about o?2 or o?3- With the aid of these observations the east-and-west
reference line is found and the position of the sun's pole and equator is then readily computed from an
auxiliary table, such, for example, as is given in the Companion to the Observatory. As soon as the position
of the sun's equator is known, the diagonal prisms are set for the latitude desired, the illumination of
the grating is examined, and the exposure taken. The second setting upon the position circle is then made
and the process repeated. Usually six exposures have been taken upon each plate, although the number
OBSERVATIONS OF 1906-1907.
varies according to the latitudes employed. In general, I have used the same plan as that adopted by
Duner of taking points 15° apart between o° and 75° of latitude, but some intermediate points have also
been added, particularly in the higher latitudes when the orientation of the image was especially favorable.
In selecting the region of the spectrum to be employed several considerations have been borne in mind.
The use of photographic plates and the desirability of keeping the exposure times as short as possible in
order to avoid heating of the slit jaws, as well as changes of focus and astigmatism of the solar image due
to changes in the figure of the mirrors arising from prolonged exposure to the sun's heat, naturally led to
the employment of the more refrangible part of the spectrum. The fact that the observations of Duner and
Halm were obtained in the less refrangible part also made the use of an independent region most desirable.
Although the displacement of the spectrum lines for a given radial velocity is proportional to wave-length
and consequently smaller in the violet part of the spectrum than in the red, this disadvantage is fully
counteracted by the possibility of employing higher dispersion and fine-grained photographic plates to
procure greater linear scale and higher resolution. The plates finally used were Seed's "Process" plates,
which give excellent contrast and are appreciably more rapid than lantern-slide plates in the violet part of
the spectrum. A second consideration which led to the selection of a region in the violet was the neces-
sity of obtaining the lines of a sufficient variety of elements within the range of wave-length such as could
be secured on a single plate. After considerable examination the part of the spectrum between X 4200 and
\ 4300 was selected. The plates employed are very sensitive to this region, and within its limits are
found an immense number of lines including a part of the G group, as well as the head of the first violet
cyanogen fluting. The presence of the so-called "blue line" of calcium at X 4227 has also proved of great
value in the later observations. The list of lines finally adopted is given in Table i. The wave-lengths,
intensities, and identifications are from Rowland's table.
TABLE i. — LINES OBSERVED IN 1906-1907.
X
ELEMENT.
INTENSITY.
BEHAVIOR AT LIMB.
4196.699
La
2
Much weakened.
4197-257
CN
2
Slightly weakened.
4203.730
Cr
2
Strengthened and widened.
4209.144
Zr
i
Weakened.
4216.136
CN
i
Weakened.
4220.509
Fe
3
Slightly strengthened and widened.
4232.887
Fe
2
Much strengthened and widened.
4257.815
Mn
2
Slightly strengthened and widened.
4258-477
Fe
2
Much strengthened and widened.
4265.418
Fe
2
Slightly weakened.
4266.081
Mn
2
Slightly weakened.
4268.915
Fc
2
Slightly weakened.
4276.836
- Zr
2
Weakened.
4284.838
Ni
I
Slightly weakened.
4287.566
Ti
I
Slightly strengthened and widened.
4288.310
Ti, Fe
I
Widened.
4290.377
Ti
2
Slightly weakened. Enhanced line of Ti.
4290.542
Fe
I
Slightly weakened.
4291.630
Fe
2
Much strengthened.
4294.936
Zr
2
Probably weakened.
The reasons for the selection of the lines in the above list are for the most part self-evident. The lines
of cyanogen are included because of the low level at which carbon, and presumably its compounds, lie in the
sun's atmosphere, if we may judge from chromospheric observations. The line of lanthanum was selected
because of the high atomic weight of this element, and the consequent presumption for a relatively low level,
6 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
and the same reason holds in lesser degree for zirconium. Iron is represented by seven lines in the list, a
number sufficient to eliminate to a great extent possible peculiarities among individual lines when a mean
value is taken. Titanium is of great interest because of its relatively high level in the chromospheric
spectrum, and a larger number of lines would have been desirable in its case. The necessity, however, for
selecting the lines best suited for measurement, and free from close neighboring lines, has limited the num-
ber to three. Of these X 4290.377 is an enhanced line, that is, relatively stronger in the spark spectrum
than in that of the arc. The other lines belong to elements having an atomic weight close to that of iron.
The last column in Table i gives the behavior of the lines at the limb of the sun as compared with the
center. At the time at which the list was selected these remarkable differences in intensity and appear-
ance were not known (12). It was noted on the earliest plates, however, that the lines at the limb as a rule
were decidedly broader and more diffuse, as well as in most cases somewhat weaker, than the lines of the
ordinary solar spectrum in this region. At first this was thought to be due to some instrumental cause,
possibly the long path traversed by the light through the glass of the diagonal prisms, but the discovery
soon afterward, by Mr. Hale and myself, of the essential differences in character of the spectrum of the sun's
limb fully explained the difficulty. In view of this relative diffuseness of the lines in the immediate neigh-
borhood of the edge of the sun, it seems to me probable that a slightly higher degree of accuracy might be
attained in future observations by taking the light from a point somewhat farther within the disk than
that which is usually employed, and applying the small corrections needed to reduce to the sun's edge.
Observations have shown that the spectrum of the limb reverts to the normal solar spectrum very rapidly
as the slit is moved away from the sun's edge, and the gain in the sharpness of the lines would probably
more than compensate for the small difference in the size of the displacements measured. An accurate
knowledge of the distance of the slit from the limb would, of course, be essential.
2. RECORD OF OBSERVATIONS, 1906-1907.
The series of plates employed in this investigation, numbering 44, began in May, 1906, and extended
to June, 1907. Between July and October, 1906, no plates were taken, but with the exception of this
interval the period is fairly well covered. The plates used do not include all which were taken, but careful
selection was made with special regard to quality and the conditions under which they were obtained.
Halm has called attention to the importance of the transparency of the sky in such observations, the effect
of a hazy sky, or light cloudiness, being to superpose the spectrum of skylight upon the spectrum from the edge
of the sun, and consequently to make the displacements measured systematically too small. This point
was usually tested visually in the same way as was done by Halm, and a few quantitative determinations
of the effect were also made from photographs obtained at a time when the sky was particularly hazy.
The record of the observations contained in Table 2 gives the data for the individual plates. The
estimates of the definition in the fourth column are on a scale of 10. The column headed "Scale concave
mirror" refers to the setting of the concave mirror mounting upon its track and is read upon an arbitrary
scale. Positive readings indicate a direction north from zero, or a greater distance between mirror and slit.
The considerable variations in these readings are due to the change of figure of the system of mirrors, par-
ticularly of the ccelostat mirror, when exposed to the sun's heat. This change is dependent upon a variety
of conditions, especially the state of the silver surfaces of the mirrors and the temperature of the air sur-
rounding them. The column headed "Observations for zero" gives the readings of the points of transit
across the position circle of definite points on the sun's disk. The method of observing these has been ex-
plained previously. The readings of the position circle refer to the settings of the pair of diagonal prisms,
and it is from these settings that the latitudes of the observed points on the sun's edge are calculated. The
numbers following the words "ccelostat" and "second flat" in the column of remarks indicate the positions
of these mirrors on their respective tracks. The orientation of the sun's image of course is dependent upon
these quantities.
RECORD OF OBSERVATIONS, 1906-1907.
TABLE 2. — RECORD OF OBSERVATIONS, 1906-1007.
DATE.
HOUR
G. M.T.
PLATE
No.
DEFINITION.!
EX-
POSURE
TIME.
SLIT
WIDTH.
SCALE
CONCAVE
MIRROR.
OBSERVATIONS
FOR ZERO.
EXPOSURE. 1
READ-
INGS
POSITION
CIRCLE.
REMARKS.
1906
h m
sec
mm
0 »
0
May 3
7 3°
<" 3
2
240
0.025
+ 10
80.2-299.3
i
219.2
Zero very difficult on account of
80.3-300.0
2
234.2
definition.
94.7-286.O
3
249-2
95.1-285.0
4
264.2
96.1-284.7
5
279.2
6
294.2
May8
6 o
01 6
4
250
0.025
-18
114.5-267.5
i
293.2
96.1-286.5
2
278.2
II4.5-266.8
3
263.2
95.6-286.5
4
248.2
5
233.2
6
218.2
May 19
10 30
a 8
5
125
0.025
+252
IOI.5-28I.O
i
302.0
Ccelostat 200.
IOI.7-280.5
2
297.0
Second Flat 600.
3
285.7
Mirrors resilvered.
4
270.7
Prisms cleaned.
5
255-7
Bars interfere with windows at
6
242.0
300° and at 240°.
7
225.7
June 12
6 45
ia 19
5
45
0.030
+ 200
100.6-286.0
i
210.3
100.3-286.0
2
234-3
IO2.2-284.2
3
249-3
IO4.O-282.5
4
264.3
103.6-282.7
5
279-3
6
294-3
June 12
7 1S
w 20
5
60
O.O3O
+ 2OO
i
2IQ ?
•*'"OW
2
• *y po
234.3
3
249-3
4
264.3
5
279-3
6
294-3
June 12
7 45
fe> 21
5
60
0.030
+ 3OO
i
204. ^
2
y*t-o
278.3
3
279-3
4
264-3
5
249-3
6
234-3
7
219.3
June 15
6 o
u 23
4
65
0.030
+ I?0
102.3-283.8
i
293.0
Ccelostat 300.
103.0-283.2
2
278.0
Second Flat 800.
88.5-298.0
3
263.0
4
248.0
5
233-0
6
218.0
June 15
6 IS
u> 24
3
65
0.030
+ 1^0
i
218.0
i *jv
2
233.0
3
248.0
4
263.0
5
278.0
6
293.0
June 15
6 35
u 25
3
65
O.O3O
+ 1 SO
i
20^.0
o
1 *ow
2
*yo*v
278.0
3
263.0
4
248.0
5
233.0
6
218.0
June 16
6 20
w 26
4
65
0.030
+90
102.3-285.3
i
294.7
Ccelostat 400.
105.7-284.5
2
279.7
Second Flat 870.
105.7-284.7
3
264.7
4
249.7
5
234-7
6
219.7
8 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 2. — RECORD OF OBSERVATIONS, 1906-1907 — Continued.
DATE.
HOUR
G.M.T.
PLATE
No.
DEFINITION. 1
EX-
POSURE
TIME.
SLIT
WIDTH.
SCALE
CONCAVE
MIRROR.
OBSERVATIONS
FOR ZERO.
EXPOSURE. 1
READ-
INGS
POSITION
CIRCLE.
REMARKS.
1906
h m
sec
mm
0 0
0
June 1 6
7 5
w 27
3
6?
O.O^O
+90
i
2O4..7
J
W*WO
I vv
2
**yr- /
279-7
3
264.7
4
249.7
5
234-7
6
219.7
Oct. 19
II IO
w 30
2-3
75
0.030
+260
83.0-293.0
i
72.0
Angles reckoned from B readings
82.8-293.3
2
87.0
on west side position circle.
82.5-294.0
3
IO2.O
Ccelostat 112.
4
II7.0
Second Flat 300.
5
132.0
6
147.0
Oct. 19
12 IO
w 31
2-3
90
0.032
+266
i
I47.O
W*VJ*
2
Jt / -v
132.0
3
II7.0
4
102.0
5
87.0
6
72.0
Nov. n
10 0
W35
4
45
0.032
-1-400
83-5-275-0
i
I4I.7
83-3-275-3
2
66.7
Zero observations at 6h om.
Nov. ii
10 15
0 36
4
CO
O.O3O
+400
I
66.7
Distance between windows chanced
o
.rf.VJV
2
\t\ft i
81.7
to 165.1 mm; between inside
3
96.7
edges 83.55 mm.
4
111.7
5
126.7
6
141.7
Nov. ii
10 40
<a 37
4
5°
0.032
+400
i
141. 7
2
****•/
126.7
3
in. 7
4
96.7
S
81.7
6
66.7
Nov. ii
II 0
w 38
4
55
O.O?2
+400
i
66 7
^.VJJ*
2
81.7
3
96.7
4
111.7
5
126.7
6
141.7
Nov. ii
ii IS
<"39
4
60
0.032
+400
80.2-280.0
i
141.7
Zero observations at nh 30'™.
79.8-280.3
2
126.7
79.5-280.3
3
111.7
79.3-280.6
4
96.7
S
81.7
6
66.7
Dec. 18
5 5°
<•) 39^
5
60
0.032
+ I2O
i
124 C
2
* **f • o
109.5
3
94-S
Dec. 18
6 40
w 40
4-5
7°
0.028
+175
90.2-296.5
i
94-S
Ccelostat 858.
90.3-296.0
2
i°9-S
Second Flat o.
90.5-296.0
3
124-5
Zero observations at sh om and at
90.6-295.2
4
124-5
nh 5™.
5
109.5
6
94-5
Dec. 18
6 50
<•> 41
5
7°
0.025
+ 140
i
124. C
2
* **+• J
109.5
3
94-S
4
94-S
5
109.5
6
124-5
RECORD OF OBSERVATIONS, 1906-1907.
TABLE 2. — RECORD or OBSERVATIONS, 1906-1907 — Continued.
DATE.
HOUR
G.M.T.
PLATE
No.
I'NOIIINIiaQ
EX-
POSURE
TIME.
SLIT
WIDTH.
SCALE
CONCAVE
MIRROR.
OBSERVATIONS
FOR ZERO.
V)
READ-
INGS
POSITION
CIRCLE.
REMARKS.
igo6
h m
sec
mm
0 0
°
Dec. 18
TO 7Q
w 46
6e
O.O3O
-4-1 co
I
I4I.O
AW JW
«• if.V
VO
*"VO'-'
1 * o v
2
I26.O
3
126.0
4
I4I.O
5
I4I.O
6
126.0
Dec. 18
10 50
w 47
4
70
0.030
+ 150
78.0-282.5
i
126.0
78.3-282.7
2
I4I.O
102.5-258.5
3
I33-S
102.0-258.5
4
II7.O
5
II7.0
6
133-5
1907
Feb. 3
5 40
w 50
3~4
70
0.030
+ 22O
105.6-289.5
I
221. 0
Zero observations at 4h 40™.
98.6-296.5
2
230.0
101.7-293.5
3
246.0
102.8-292.3
4
262.0
S
277.0
6
293.0
Feb. 15
5 4°
<"55
4
60
0.030
+ 160
101.0-293.3
4
266.0
Zero observations at sh om.
95.5-298.5
5
282.0
93.3-300.5
6
297.0
94.0-300.3
96.5-298.0
101.5-292.3
Feb. 15
6 5
w 56
4
55
0.030
+ 180
94-3- 99-5
I
218.0
95.0- 99.2
2
234-0
3
250.0
4
266.0
S
282.0
6
297.0
Feb. 28
7 '5
w 60
2—4.
60
0.030
-(-250
i
3O2.O
O T1
2
O
302.0
3
288.0
4
280.3
S
273-3
6
264.5
7
257.5
Feb. 28
7 4°
u 61
3-4
60
0.030
+250
97.0-297.3
i
248.3
Zero observations at 7h 55™.
82.0-312.3
2
242.3
102.3-291.6
3
242.3
I35-7-259-3
4
248-3
S
257.5
6
264.5
Feb. 28
9 15
w 62
3
65
0.030
+ 250
70.5-298.5
i
302.0
Zero observations at 9h 30"".
70.7-298.3
2
288.0
91.0-278.5
3
280.3
123.5-246.0
4
273.3
5
265.5
6
257.5
Feb. 28
9 45
lM> 63
a
65
0.030
+ 250
i
251.8
o
2
244.8
3
260.6
4
267.6
S
275.2
6
288.8
April 7
3 20
u 64
5
90
0.030
+ 180
96.3-299.0
3
235.0
Zero observations at oh iom.
99.5-295.7
Mirrors badly tarnished.
105.3-289.7
93.0-302.2
105.7-289.5
10 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 2. — RECORD or OBSERVATIONS, 1906-1907 — Continued.
DATE.
HOUR
G M.T.
PLATE
No.
DEFINITION. 1
EX-
POSURE
TIME.
SLIT
WIDTH.
SCALE
CONCAVE
MIRROR.
OBSERVATIONS
FOR ZERO.
EXPOSURE. 1
READ-
INGS
POSITION
CIRCLE.
REMARKS.
1907
h m
sec
mm
0 0
«
April 7
5 45
<•> 67
IOO
O O3O
4-T CO
•3
2 T r r
April 7
6 45
«*• \J f
co 68
?
IOO
o.o^o
i * j**
o
6
235.5
April 7
7 IO
w 60
o
1
IOO
^'"O
O.O3O
4-i CO
i
235.5
April 22
/
8 20
*_<y
w 81
J
3
80
^'"O
0.028
I *• 3
+360
91.5-308.7
i
248.0
Zero observations at 7h 30'".
93-5-306.5
2
248.0
96.0-304.0
3
242.5
4
242.5
5
235-0
6
235-0
May 10
10 15
"83
3-4
80
0.025
+355
105.0-283.5
i
227.0
Zero observations at gh 20"'.
93-3-295-5
2
232.0
3
243.0
Distance between inside edges of
4
243-0
windows changed to 163.8 mm.
5
232.0
6
227.0
May 30
12 5
w 85
3-4
IOO
O.O22
+356
103.0-285.2
i
220.7
Zero observations at 1 11' 40™.
103.2-285.3
2
225.7
3
236.7
4
236.7
5
225.7
6
22O-7
May 31
4 55
0,86
4
IOO
O.O2O
+280
99.3-290.8
i
220.0
Zero observations at 4'' 2om.
99.7-290.5
2
225.0
3
237.0
4
256.3
5
271.3
6
286.3
June 22
3 10
"87
3-4
90
0.030
+400
91.7-279.0
i
223.5
Zero observations at gh 55m.
2
230.5
3
230.5
4
244.0
5
259-5
6
274-5
June 22
II IO
088
3-4
1 20
O.O3O
+400
i
274.=;
".**O**
2
* / t*o
259.5
3
244.0
4
230.5
5
230.5
6
223.5
June 22
ii 40
u 89
3-4
120
0.030
+400
78.0-294.5
i
223.5
Zero observations at 1 2h 30™.
78.0-294.5
2
230.5
3
230.5
4
244.0
5
259-5
6
274-5
June 23
5 20
w 90
3
1 20
0.032
+ 280
102.7-283.3
i
225.0
Zero observations at 4'' 45"'.
103.0-283.3
2
236.5
3
234.0
4
252.2
5
267.7
6
282.7
June 23
5 20
ft) 91
3
1 20
0.032
+ 280
i
282.7
2
267.7
3
252.2
4
236.5
MEASUREMENT AND REDUCTION. II
3. METHODS OF MEASUREMENT AND REDUCTION.
The series of photographs used in this investigation have been measured upon two comparators, one
by Toepfer of Potsdam, with a 150 mm screw, and the other by Gaertner of Chicago, with an 80 mm screw.
The Toepfer instrument has been used by Miss Lasby of the Computing Division, and the Gaertner ma-
chine by myself. The screws of both comparators have a pitch of 0.5 mm and have been investigated for
periodic errors as well as for errors of run, with results which have proved most satisfactory. In the case
of the Toepfer instrument, upon which a majority of the plates have been measured, the series of determi-
nations of a fixed distance ruled on a glass plate for every alternate 10 revolutions of the screw between 10
and 280 indicates remarkably small periodic errors. At a maximum these amount to 0.3 p (0.0003 mm),
which is considerably below the limit of accuracy of measurement for spectrum plates. The reading
head of the Toepfer comparatoris divided into 100 parts, and so can be read directly to 5 /u, and by esti-
mation to 0.5 fj.. The errors of run are also small, but of course do not need to be considered in small
differential measures of this sort.
An examination of the screw of the Gaertner comparator indicates periodic errors amounting at a maxi-
mum to 2 fj.. If this amount entered fully into the value of the displacements it would of course be neces-
sary to apply corrections for it. Since the maximum error, however, applies only to a half-revolution of the
screw, that is, 250 p, while the largest displacements measured (at the sun's equator) are 90 fj,, it is evident
that only about one-third of the total value can affect the measures. Moreover, in reversing the plate for
the second series of measures, care has been taken to set the plate in such a way that the opposite part of
the revolution of the screw is employed to that used in the first series. The effect, accordingly, is to
balance the errors in the two cases, and it seems altogether probable that the errors due to the irregularities
of the screw with this comparator, as in the case of the larger instrument, fall well below the errors of
measurement. The reading head of the Gaertner comparator is divided into 500 parts, so that settings
can be made directly to i /j,, and estimations to o.i p, if desired.
The procedure followed in measuring the plates is as follows. After the plate has been adjusted on the
comparator so that the small interval separating the two spectra of the opposite limbs falls at the center of
the field of view, and the plate has been carefully lined up for parallelism to the direction of motion of the
screw, four settings are made on each line in the two spectra. The difference between the means of these
settings gives the relative displacements of the lines between the two limbs, or double the displacement
due to the rotation of the sun. After the whole plate has been measured throughout in this way it is
reversed and a similar series of settings made in the second position. Since only dark lines are involved,
no such systematic differences between the results in the two directions due to physiological causes are
found as in the case of spectra in which a comparison spectrum with bright lines is used, but the additional
set of measures has proved most useful in correcting peculiarities in the appearance of individual lines, and
a higher degree of accuracy, of course, is obtained from this doubling of the number of settings. The means
of the displacements obtained from the two series of measures are then combined to give the final values.
The complete measurement in both directions of a plate containing 6 latitudes involves a total of 1920
settings.
A most important consideration in the measurement of the plates is the question of the inclination of the
micrometer wire in the eye-piece of the measuring instrument. Unless this is accurately parallel to the
true direction of the spectrum lines, a considerable error may be introduced into the displacements, since
reversal of the plate does not affect the position of the wire in this regard. It is evident that the correc-
tion could be obtained by making the second measurement through the glass, but the practical objections
to this procedure are obvious, and it is probable that small errors might be introduced by refraction in the
glass plate. Accordingly, the following method was finally adopted. A solar spectrum taken with a long
slit was obtained at the center of the sun with the direction of the slit parallel to the sun's axis, a position
12 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
in which the inclination of the lines evidently would not be affected by the sun's rotation. With this plate
as a standard the vertical micrometer wire was carefully adjusted until it coincided with the lines of the
spectrum throughout their entire length and then clamped in position. Since the lines of the rotation
spectra are very short (about 1.5 mm for each pair of spectra), it is evident that the accuracy of adjustment
for these spectra must be all that can be desired. When any change in the inclination of the slit has been
made, or the grating rotated about a vertical axis, a new standard plate has been taken and the micrometer
wire readjusted. This has been done on but one occasion in the present series of observations.
After the linear displacements have been obtained in this way the conversion into velocity is effected by
the aid of Table 3. The second column gives the factor for conversion of the displacements into Angstrom
units, and the third the value of a displacement of one Angstrom unit in kilometers for each of the lines
measured. The last column is the product of the two by the factor one-half, since double the rotational
velocity is actually measured. It is this column which is used in practice. The table is for the Toepfer
comparator ; for the Gaertner instrument the quantities in the second and fourth columns are twice as
large, since the unit of measurement is the millimeter instead of the half-millimeter as in the case of the
Toepfer comparator.
TABLE 3. — CONVERSION or DISPLACEMENTS INTO VELOCITIES. OBSERVATIONS OF 1906-1907.
X
ONE ^REVOLUTION
ONE ANGSTROM
ONE-HALF REVO-
x
ONE ^REVOLUTION
ONE ANGSTROM
ONE-HALF REVO-
IN ANGSTROMS.
IN KM.
LUTION IN KM.
IN ANGSTROMS.
IN KM.
LUTION IN KM.
4196.699
0-3546
71-45
12.67
4266.081
0.3508
70.29
12.33
4197-257
0.3546
71-44
12.66
4268.915
0.3506
70.24
12.32
4203.730
0-3543
71-33
12.64
4276.836
0.3502
70.11
12.28
4209.144
0-354°
71.24
12.61
4284.836
0-3497
69.98
12.24
4216.136
0.3536
71.12
12.58
4287.566
0-3496
69.94
12.22
4220.509
0-3534
71-05
12.56
4288.310
0-3495
69.92
12.22
4232.887
0.3527
70.84
12.50
4290.377
0.3494
69.89
12.21
4257-815
0.3512
70-43
12.36
4290.540
0-3494
69.89
12.21
4258.477
0-3512
70-42
12.36
4291.630
0-3494
69.87
12.20
4265.418
0.3508
70.30
12-33
4294.936
0-3491
69.82
12. l8
The velocities obtained in this manner are those observed directly, and in order to convert them into
the velocities corresponding to the sidereal rotation period of the sun it is necessary to apply three correc-
tions. The first of these is the small correction for reduction to the edge of the sun, since the slit is always
set a small distance inside the limb. This is readily found by computation, since the distance of the
diagonal prisms whif h admit the light is accurately known with reference to the center of the sun, and the
diameter of the image for any date can be found by the aid of an almanac when the setting of the concave
image-forming mirror is known. The correction accordingly will always take the form of multiplication
by a factor slightly greater than unity. A slight allowance has been made for the difference in the size of
the solar image at the focus and at the point where the light falls upon the diagonal prisms.
The second correction is that for the departure of the sun's pole from its visible edge. In this case the
correction consists of multiplication by the secant of an auxiliary angle which is designated by ?? in Duner's
memoir (sa), and for the derivation of which the necessary formulae have been given by him in full. If we
put
i = inclination of the sun's equator
O = longitude of the sun
fl = longitude of the ascending node of the sun's equator
TT = polar distance of the point observed
DISCUSSION OF ERRORS. 13
the formula reads
sin r, = _ sinisin(Q-n)
SUITT
In all cases in which the value of ~n is large the values have been worked out rigorously. In the lower
latitudes, where the values of n are comparatively small and vary but slightly, use has been made of the
convenient table given by Duner.
A third correction is required to allow for the earth's motion in its orbit, or, in other words, to reduce
the observed values of the rotation period of the sun to the sidereal rotation period. The formulae neces-
sary for the derivation of this correction have also been worked out completely by Duner and are given
by him in his memoir, together with excellent tables of reference. Frequent use has been made of these
in reducing the results given here. It would of course give the same final values to convert the observed
linear velocities into angular velocities and then apply the corrections necessary to allow for the earth's
motion directly from the almanac values, and in some ways this procedure would be preferable. To
facilitate comparisons with other results it has seemed desirable to add the corrections directly to the
linear velocities. The total value of this correction varies from o at the pole to about 0.14 km at the
equator.
The computation of the heliographic latitudes of the points under observation is made in the following
way with the aid of De La Rue's Tables for Determining the Angle of Position of the Sun's Axis : The position
angle of the sun's axis in reference to the north point, as well as the heliographic latitude of the earth, is
found for the date of observation, the tables being constructed with the sun's longitude as an argument.
The position of the north point is found in the way already explained by transits of the sun's disk across
the position circle of the instrument. Accordingly, if
p = position angle of point from sun's north point
P = angle of sun's pole from north point
D = earth's heliographic latitude
the heliographic latitude $ of the point desired is found by the formula
sin <f> = cos (p — P) cos D
The polar distance IT is, of course, the complement of the angle <£.
4. SOURCES OF ERROR.
As in all quantitative investigations of the displacements of spectrum lines, the errors in the results
obtained in the present study naturally fall under two heads. Under the first are those due to instrumental
causes, leading to errors in the values of the displacements on the plates. Under the second fall errors
arising from the measurement of the plates and the reduction of the results obtained. There can be little
doubt that of these two the first is by far the more serious, since errors of this sort are much more liable
to be of a systematic character than those arising from either measurement or reduction.
The principal sources of error to be considered under the first head are as follows :
(1) Astigmatism, changes of focus, and lack of definition of the solar image.
(2) Heating of the slit jaws during exposures.
(3) Unequal illumination of the grating from the opposite edges of the sun.
(4) The presence of the spectrum of skylight, which tends to reduce the values of the displacements
observed.
I have already discussed (3) and (4) in a preceding paragraph and described the precautions taken to
avoid the introduction of error from them. It seems probable that any difficulty due to the presence of the
skylight spectrum can hardly be appreciable when the plates used for measurement have been selected
14 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
from those taken on especially transparent days. Experiments made by Mr. Hale and myself (13) have
indicated that on a day of average transparency on Mount Wilson the brightness of the sky spectrum
close to the edge of the sun is about one-fortieth that of the spectrum inside the limb. Accordingly, this
would represent about the maximum effect in the case of the plates under consideration, and a contribution
of one-fortieth to the intensity of the spectrum lines would probably be entirely inappreciable both in the
appearance of the plates and in the measurement. The influence of inequalities in the illumination of the
grating can probably never be absolutely eliminated, but with the aid of the precautions taken in securing
the exposures I feel confident that the effect has been reduced to a minimum, and that in an extended
series of observations the residual effect can be regarded mainly as an accidental error which will tend to
eliminate itself with a sufficient number of plates.
The question of the heating of the slit jaws during the exposures has been treated with especial care,
since errors arising from this source have been encountered by other observers. On account of the com-
paratively small ratio of i : 30 between aperture and focal length in the Snow telescope, and the relatively
large image employed, the amount of heat which falls upon the slit is of course much less than in the case of
relatively short focus telescopes. Additional advantages are the silvering of the slit jaws, which helps to
reflect the heat that falls upon them, and the fact that a length of only about 3 mm of the slit is exposed to
the sun when the plate is taken. In order to obtain a definite test, however, I have tried several exposures
upon the same part of the sun, using a comparison spectrum obtained with and without the interposition
of a glass cell containing a thickness of 20 mm of water. Such a screen could hardly fail practically to
eliminate heat effects on the slit. The measurement of these plates has indicated no difference whatsoever
between the results obtained with and without the screen, and the conclusion seems to be warranted that
any effect upon the rotation values due to heating of the slit jaws during the exposures must be very small.
The first source of error referred to in the list, which has to do with the astigmatism and lack of definition
of the sun's image upon the slit of the spectrograph, is perhaps the most serious of any encountered in
the investigation. In working with the Snow telescope we have found that the definition of the solar image
toward the middle of the day is much inferior to what it is in the early morning and late afternoon, and
that the effect of prolonged exposure of the mirrors to sunlight at this time of day is to introduce a consid-
erable amount of astigmatism due to changes of figure of the plane mirrors. This shows itself in a distortion
of the image and a difference of focus between the vertical and horizontal diameters. The effect of this
upon determinations of rotation is to introduce into the slit additional light from points differing slightly
in latitude from those upon which the diagonal prisms are set, and also to cause a slight difference for
different latitudes in the distance from the sun's edge at which the light is taken. The first is probably
much the more serious. The effect of changes of focus during the exposures is also in the direction of
bringing into the slit scattered light from other latitudes than those upon which the instrument is set,
and the same holds true of most defects in the character of the sun's image.
Since the plates for the determination of the rotation of the sun have been taken for the most part
toward the middle of the day, the early morning hours and the late afternoon being utilized for the spec-
troheliograph, the effects discussed here must have influenced the results obtained to a certain extent.
The selection of the plates to be used for measurement, however, and the rejection of those which were
obtained under especially unfavorable conditions, must have rendered decidedly less the amount of the
error from this source which can enter into the determinations. In taking the plates it has been found
possible to reduce materially the amount of astigmatism and variation of focus by keeping the mirrors
cooled by a circulation of air about them from electric fans, and by shutting off the sunlight for short inter-
vals between the successive exposures on the plate. It is evident that even in the case of a poorly defined
image the main effect of the introduction into the slit of the scattered light from points bordering on the
latitudes employed will be to widen the lines without altering the displacements seriously, since in general
the foreign light will come from regions distributed symmetrically about these points of latitude. In the
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907. 15
case, however, of a marked change in the character of the image during the exposures on the various lati-
tudes, systematic errors might be introduced, and such effects would naturally be greater in the higher
latitudes, where the change of velocity with the latitude is more rapid than it is near the equator. It is
of course impossible to say to what extent these effects may have entered, and I can only emphasize the
fact that all the precautions which have seemed feasible have been taken to keep the character of the image
the same during the series of exposures.
A consideration of the second class of errors which may influence these results, those that arise from
errors of measurement and reduction, may be passed over rapidly. The methods of measurement and the
screw errors affecting the instruments employed have already been discussed in full, and it seems probable
that there can be but little systematic error due to this source affecting the results. In the reductions,
moreover, methods rigorous within the limits of accuracy required have been followed, and consequently
there is little to be feared from this source except as regards numerical errors of computation. To avoid the
latter a considerable part of the work has been done in duplicate, especially that involving the various cor-
rections to the observed velocities and the computation of the latitudes. The conversion of the measured
displacements into velocities is readily checked by comparison with a standard table.
In conclusion it should be noted that small absolute errors may be introduced into the results by
uncertainty in the values of the constants of reduction employed. Throughout the observations of
1906-1907 the following values, by Carrington, of the inclination of the sun's equator / and the longitude
of its ascending node ^ have been used.
i = fi5' «= 74° 24' (1906)
In concluding this discussion of the sources of error in the observations, reference should be made to a
class of phenomena present in the sun which under certain conditions may very seriously affect the results
obtained for the rotation. These are the disturbances in the solar atmosphere which have been discussed
recently under the term " Solar Vortices " (u), although their character is as yet by no means clear. The
influence of the presence of such disturbances will be referred to more fully in connection with the considera-
tion of the series of observations of 1908, and some numerical results will be given at that time. It is
sufficient to call attention here to the fact that these solar storms sometimes affect very large regions of the
sun's surface, and that throughout these regions the velocities due to the rotation of the sun may be greatly
modified by the proper motions of the areas involved.
5. RESULTS FOR THE INDIVIDUAL PLATES, 1906-1907.
The detailed results for the separate plates used in this investigation are given in Table 4. The main
consideration borne in mind in the construction of this table has been to give all the data essential to an
independent computation of the values derived from the plates. With this in view, at the beginning of the
summary for each plate are given the constants used in the reduction of that plate, together with the
necessary data for the computation of the latitudes and the auxiliary angles employed in correcting the
observed values. Although most of the symbols have already been defined, for the sake of convenience
it may be well to repeat them at this point.
O = longitude of sun.
fl = longitude ascending node of sun's equator = 74?4 for 1906.
P - angle between sun's pole and north point.
D = earth's heliographic latitude.
"f = heliographic polar distance of point observed = 90° — <f>.
n = angle made by the plane passing through the point observed, the sun's pole, and its center,
with the plane corresponding to the sun's visible edge.
l6 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
The diameter of the image is found by computation in the way already described from the almanac
value of the sun's angular semi-diameter combined with the concave mirror setting of the Snow telescope.
The "factor" referred to is the semi-diameter divided by one-half the distance between the diagonal prism
openings which admit the light to the slit.
The results for the individual lines of each plate for the various latitudes are given immediately below
the constants for the plate. The values of A are the mean total displacements expressed in half-milli-
meters. Hence the largest displacements measured are about 0.075 mm- In the case of plates measured
with the Gaertner comparator the values of the displacements have been multiplied by two, in order to
make all of the quantities given homogeneous. The meaning of the other symbols employed in the tables
is as follows :
v = linear velocity corresponding to the sun's synodic period of rotation.
ill — correction for reduction to sidereal period of rotation.
£ = daily angular velocity corresponding to the sidereal period of rotation.
It is evident from the consideration of the methods of reduction that
[ Value one-half revolution 1
v = A x \ . } x Factor x sec rj
[ of micrometer in km j
The values of the second quantity are obtained from the last column of Table 3. The corrections v\ are
from the tables of Duner (s). The value of £ is readily found from v + vl by means of the formula
, v + vl
= [0.851228] -
J COS$
where N is the number of seconds in a mean solar day and R is the sun's radius in kilometers.
Some of the values for the individual plates given in Table 4 differ to a certain extent from those which
appeared in an earlier communication (10). This is due mainly to the inclusion of a number of measures
of plates by myself which I have found an opportunity to make in the interval since the first publication.
As a consequence the mean values obtained represent much more nearly the average values for the two
observers, Miss Lasby and myself, than did the earlier results. The values given here should accordingly
be more nearly free from systematic peculiarities of measurement. There are also a few changes due to
revision of the constants applied for correction of the observed velocities, particularly of the constant of
reduction to the sidereal period of rotation. The final effect of all such changes on the mean values, how-
ever, is very small, the largest difference in the mean for any normal place amounting to about 0.005 km.
In the table the abbreviations L. and A. refer to Miss Lasby and myself, while the two comparators used,
the Toepfer and Gaertner instruments, are designated by T. and G. respectively.
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
Plate
TABLE 4. — • RESULTS FOE INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
3. 1906, May 3, 7h 30™ G. M. T. Measured by L. on T. Distance from Limb 2.4 mm. Quality, good.
p-P
7T
<t>
17
seci;
g
g
e
0
0
O
42.4
5-2
6.4
83.6
36.9
1.250
o-n -
- 32-0 .
20.2
20.5
69-5
II.O
1.019
p
23-9
35-2
35-4
54-6
6.6
1.007
D -
- 3-8
50.2
50-3
39-7
5-o
1.004
Diameter
172.0 mm
65.2
65-3
24-7
4.2
1.003
Factor
1.028
80.2
80.2
9.8
3-9
i. 002
0=9?8
<t> = 24?7
0 = 39?7
X
A
V
JI + PJ
E
A
V
t + vl
f
A
V
»+!>!
£
km
km
0
km
km
.
km
km
e
4196.699
0.145
1.891
2.027
14.61
0.127
1-658
1.787
13.96
0.098
1.282
1-395
12.87
4I97-2S7
0-145
1.891
2.027
14.61
0.128
1.670
1.799
14.06
O.IOO
1-305
1.418
13.08
4203.730
0.146
1.896
2.032
14.64
0.130
1.692
1.821
14-23
0.100
1-303
1.416
13.06
4209.144
0.146
1.890
2.026
14.60
0.132
1.714
-843
14.40
O.IO2
1.327
1.440
13.29
4216.136
0.146
1.887
2.023
14.58
0.129
1.672
.801
14.07
O.IOO
1.297
1.410
13.01
4220.509
0-145
1.875
2. Oil
14.49
0.131
1.694
.824
14-35
O.IO2
1-315
1.428
13.18
4232.887
0.147
1.892
2.028
14.62
0.132
1.699
.828
14.28
O.IOI
.302
1-415
13.06
42S7-8IS
0.149
1.900
2.036
14.67
0-133
1.696
.825
14.26
O.IO4
•331
1.444
13-32
4258.477
0.149
1.896
2.032
14.64
0.132
1. 680
.809
14.14
0.103
.312
1-425
13-15
4265.418
0.147
1.865
2.001
14.42
0.132
1.674
-803
14.09
0.104
.321
1-434
13-23
4266.081
0.149
1.886
2.O22
14-57
0-133
1.685
.814
14.18
O.IO3
•305
1.418
13.08
4268.915
0.148
1.874
2.OIO
14.48
0.132
.672
.801
14.07
O.IO2
•295
1.408
12.99
4276.836
0.146
1.848
1.984
14-3°
0.131
•659
.788
13-97
0.103
•305
1.418
13.08
4284.838
0.147
1-855
.991
14-35
0.132
.670
•799
14.06
O.IO2
.293
1.406
12.97
4287.566
0.147
1-855
.991
14-35
0.132
.668
•797
14.04
0.103
•305
1.418
13.08
4288.310
0.148
1.865
.001
14.42
0.132
.666
•795
14-03
0.104
•315
1.428
13.18
4290.377
0.147
1-852
.988
14-33
0.130
.641
•770
13-83
O.IO4
•313
1.426
13.16
4290.542
0.148
1.863
•999
14.41
0.134
.686
.815
14.18
O.IO2
.288
1.401
12.93
4291.630
0.148
1.862
.998
14.40
0.132
.662
.791
14.00
0.104
.312
I-425
13-15
4294.936
0.148
i. 86 1
•997
14-39
0-133
.673
.802
14.08
O.IO4
•3"
1.424
13-14
<t> = S4°6
<t> = 6g!s
0 - 83!6
4196.699
0.068
0.892
0.981
12.02
0.038
0.504
0.564
n-43
0.008
0.132
0.160
10.19
4I97-2S7
0.069
0.904
0-993
12.17
0.037
0-493
0-553
II. 21
0.009
0.146
0.174
11.08
4203.730
0.070
0.916
1.005
12.32
0.041
0-543
0-603
12.22
0.009
0.145
0.173
1 1. 02
4209.144
0.070
0.914
1.003
12.29
0.041
0-541
0.601
12.18
0.008
0.131
0-159
10.13
4216.136
0.069
0.901
0.990
12.13
0.040
0.527
0.587
II.9O
0.009
0.145
0.173
11.02
4220.509
0.070
0.909
0.998
12.23
0.041
0.542
0.602
12. 2O
0.010
0.161
0.189
12.04
4232.887
0.070
0.90 1
0.990
12.13
0.041
0-539
0-599
12.14
O.OIO
0.161
0.189
12.04
4257-8I5
0.071
0.909
0.998
12.23
0-043
0-557
0.617
12.51
O.OI2
0.189
0.217
13.82
4258.477
0.072
0.919
.008
12-35
0.042
0-544
0.604
12.24
O.OIO
0.159
0.187
11.91
4265.418
0.073
0-933
.022
12.53
0.042
0-544
0.604
12.24
O.OII
0.175
0.203
12.93
4266.081
0.073
0.932
.O2I
12.51
0.043
0-553
0.613
12.43
O.OI2
0.189
0.217
13-82
4268.915
0.073
0.929
.Ol8
12.48
0.043
0-553
0-613
12-43
O.OII
0.174
0.202
12.87
4276.836
0.072
0.915
.004
12.30
0.042
0-541
0.601
12.18
O.OIO
0.159
0.187
11.91
4284.838
0.072
0.915
.004
12.30
0.042
0-543
0.603
12.22
O.OII
0.176
O.2O4
12.99
4287.566
0.072
0.913
.002
12.28
0.042
0.542
0.602
12.20
0.012
0.190
0.218
13.88
4288.310
0.074
0.938
.027
12.59
0.042
0-541
0.601
12.18
O.OIO
0.158
o.i 86
11.85
4290.377
0.073
0.925
.OI4
12.43
0.042
0-541
0.601
12. l8
O.OII
0.174
O.2O2
12.87
4290.542
0.072
0.911
.000
12.26
0.042
0.540
0.600
12. l6
O.OII
0.174
0.202
12.87
4291.630
0.072
0.911
.000
12.26
0.041
0.526
0.586
11.88
O.OII
0.173
O.2OI
12.80
4294.936
0.073
0.922
.on
12.39
0.043
0.550
0.610
12.37
O.OIO
0.158
o.i 86
11.85
1 8 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OP 1906-1907 — Continued.
Plate w 6. 1906, May 8, 6" om G. M. T. Measured by L. on T. Distance from Limb 2.4 mm. Quality, good.
P-P
IT
<t>
1
seci
0
47.2
o
4-3
5-4
84.6
37°8
1.266
O-Q
— 27.2
19-3
19.6
70.4
9-9
1.015
P
22.9
34-3
34-4
55-6
5-9
1.005
D
-3-3
49-3
49-4
40.6
4-4
1.003
Diameter
172.1 mm
64-3
64-3
25-7
3-7
1.002
Factor
1.028
79-3
79-3
10.7
3-4
1.002
,-
io!7
*-
25!7
,-
40 6
A
V
P + ,,
«
A
'
. + *
•
A
tl
T) ~\~ V,
•
km
km
.
km
km
0
km
km
,
4196.699
4I97.257
0.146
1.902
2.038
14-73
0.128
1.670
.798
14.17
0.097
1.266
-378
12.88
4203.730
0.146
1.894
2.030
14.67
0.130
1.682
.810
14.26
0.099
1.288
.400
13.09
4209.144
0.147
1.904
2.040
14.74
0.130
1.680
.808
14.25
0.098
1.273
-385
12.95
4216.136
0.146
1.889
2.025
14-63
0.127
1.644
.772
13.96
0.097
1.264
•376
12.87
4220.509
0.148
1.908
2.044
14-77
0.130
1.677
.805
14.22
0.098
1.270
-382
12.92
4232.887
0.148
I-903
2.039
14-73
0.130
1.674
.802
14.20
O.IOI
1.301
•413
13.21
4257.8I5
0.151
1.920
2.056
14.85
0.132
1.680
.808
14.25
O.IO2
1.301
•413
13.21
4258.477
0.150
1.906
2.042
14-75
0.130
1.658
.786
14.07
O.IOI
1.283
•395
13-04
4265.418
0.149
1.892
2.028
14.65
0.130
I.65S
.783
14.05
O.IO2
1-295
.407
13.16
4266.081
0.151
1.912
2.048
14.80
0.131
1.664
1.792
14.12
O.IO2
1.294
.406
13.15
4268.915
0.151
1.910
2.046
14.78
0.130
1.652
1.780
14.02
0.102
1.292
.404
I3-I3
4276.836
0.151
1.908
2.044
14-77
0-132
1.671
1.799
14.17
O.IOI
1.279
•391
13.01
4284.838
0.150
1.896
2.032
14.68
0.131
1.658
1.786
14.07
O.IO2
1.291
•403
13.12
4287.566
0.150
1.893
2.029
14.66
0.132
1.665
1-793
14-13
O.IOI
1.278
•390
13.00
4288.310
0.151
1.903
2-039
14-73
0.131
1.654
1.782
14.04
O.IO2
1.289
.401
13.10
4290.377
0.150
1.890
2.026
14.64
0.133
I.675
1.803
14.20
O.IOI
1.276
.388
12.98
4290.542
0.150
1.887
2.023
14.62
0.131
1.650
1.778
14.01
O.IO2
1.287
•399
13.08
4291.630
0.150
1.886
2.022
14.61
0.132
1.662
1.790
14.10
O.IO2
1.285
•397
13.06
4294.936
0.150
1.886
2.O22
14.61
0.132
1.662
1.790
14.10
0.102
1.284
•396
13-05
*-
5S!6
*-
?o!4
,-
84:6
4196.699
O.OO9
0.153
0.180
13.58
4I97.257
0.068
0.890
0.978
12.29
0.039
0.516
0-574
12.15
0.008
0.138
0.165
12-45
4203.730
0.068
0.887
0-975
12.25
0.039
0.5H
0.572
12. IO
O.OIO
0.158
0.185
13.96
4209.144
0.067
0.873
0.961
12.08
0.040
0.527
0.585
12.38
0.009
0.154
0.181
13-65
4216.136
0.068
0.883
0.971
12. 2O
0.038
0.500
0.558
ii. 81
0.008
0.132
0.159
u-99
4220.509
0.070
0.905
0-993
12.48
0.040
0.524
0.582
12.32
O.OII
0.178
0.205
15-46
4232.887
0.069
0.890
0.978
12.29
0.040
0.523
0.581
12.30
0.009
0.151
0.178
13-43
4257.815
0.072
0.919
1.007
I2.6S
0.042
0.541
0-599
12.68
O.OIO
0.155
0.182
13-73
4258.477
0.070
0.896
0.984
12-37
0.042
0.540
0.598
12.66
O.OIO
0.161
o.i 88
14.18
4265.418
0.071
0.904
0.992
12.46
0.041
0.528
0.586
12.40
0.009
0.148
O.I7S
13.20
4266.081
0.072
0.916
1.004
12.62
0.042
0-539
0-597
12.63
O.OII
0.171
0.198
14.94
4268.915
0.072
0-915
1.003
1 2. 60
0.042
0-539
0-597
12.63
0.008
0.134
0.161
12.14
4276.836
0.072
0.914
i. 002
J2-59
0.041
0.528
0.586
12.40
0.009
0.148
o.i7S
13.20
4284.838
0.071
0.900
0.988
12.42
0.041
0.526
0.584
12.36
O.OIO
o. 166
o.i93
14.56
4287.566
0.072
0.912
I.OOO
12.57
0.042
0-538
0.596
12.61
0.009
0.147
0.174
13-13
4288.310
0.071
0.898
0.986
12.39
0.041
0.526
0.584
12.36
O.OIO
0.153
0.180
13.58
4290.377
0.072
0.910
0.998
12.54
0.041
0-525
0.583
12.34
0.009
0.139
o.i 66
12.52
4290.542
0.072
0.909
0.997
12.53
0.044
0-560
0.618
13.08
0.009
o.i45
0.172
12.98
4291.630
0.072
0.909
0.997
12.53
0.043
0.548
0.606
12.83
0.008
. 0.128
0.155
11.69
4294.936
0.072
0.909
0-997
12.53
0.043
0-547
0.605
1 2.80
O.OIO
0.150
0.177
13-35 .
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate w 8. 1906, May 19, ioh 3om G. M. T. Measured by A. on G. Distance from Limb 2.3 mm. Quality, good.
p-p
f
sec 7
O
0-0
p
D
58.0
— 16.4
19-0
— 2.O
Diameter 179.2 mm
Factor 1.028
14.6
14.7
75-3
8.1
I.OIO
30.9
31.0
59-o
4.0
I.OO2
44-6
44-6
45-4
2.9
I.OOI
59-6
59-6
30.4
2.4
I.OOI
74-6
74.6
iS-4
2.1
I.OOI
90.9
89.1
o-9
2.0
I.OOI
0=
o:.
0 =
,5%
0 =
30!4
A
V
.+.,
1
A
V
. + .,
1
A
1
, + •>
1
4196.699
0.144
km
1.877
km
2.016
O
I4.3I
0.136
km
1.767
km
1.901
O
14.01
0.116
km
I.5I8
km
1.642
O
I3-52
4I97-257
0.150
I-95I
2.090
14.84
0.142
1.858
1.992
14.68
0.116
I.S2I
1.645
13-54
4203.730
4209.144
0.154
2.010
2.149
15.26
0.138
1.779
I.9I3
14.10
0.116
I-5I7
1.641
I3-5I
4216.136
0.144
1.865
2.004
14-23
0.136
1-773
1.907
14.06
O.I 2O
1.561
1.685
13-87
4220.509
0.150
1.944
2.083
14.79
0.140
1-852
1.986
14.64
0.122
1-574
1.698
13.98
4232.887
0.152
1.963
2.102
14.92
0.146
1.920
2.054
15-14
0.126
J-545
1.669
13-74
4257-8I5
0.148
1.897
2.036
14.46
0.144
1.906
2.040
15.04
0.124
1.714
14.11
4258.477
0.146
I.87I
2.010
14.27
0.142
1.866
2.OOO
14.74
0.128
1.639
1.763
I4-5I
4265.418
0.152
1-952
2.091
14-85
0.146
1.908
2.042
15.05
0.120
1.540
1.664
13.70
4266.081
0.152
1-945
2.084
14.80
0.140
1.829
1.963
14.47
0.126
1.601
I-725
14.20
4268.915
0.150
1-930
2.069
14.69
0.136
1.790
1.924
14.18
0.116
1.568
1.692
13-93
4276.836
0.152
1.936
2.075
14-73
0.138
1.818
1-952
14.38
0.118
1-583
1.717
4284.838
0.156
1.964
2.103
14-93
0.140
1.832
1.966
14.49
O.I 2O
1.601
1.725
14.20
4287.566
0.152
1.918
2-057
14.61
0.144
1.883
2.OI7
14.87
O.I 2O
1.607
I-73I
I4-2S
4288.310
0.154
1-950
2.089
14.83
0.136
1.768
1.902
14.02
0.122
1-540
1.664
I3-70
4290-377
0.148
1.872
2. Oil
14.28
0.150
1.881
2.OI5
14-85
0.128
1.613
1-737
I4-30
4290.542
0.154
1.948
2.087
14.82
0.148
1.850
1.984
14.62
0.130
1.627
i-75i
14.41
4291.630
0.152
1.940
2.079
14.76
0.148
1.850
1.984
14.62
0.130
1.623
1-747
14.38
4294.936
0.146
1.835
1-974
14.02
0.142
1.770
1.904
14-03
0.128
1.598
1.722
14.17
0 =
4S!4
0 =
S9°.°
0 =
75:3
4196.699
O.IOO
1.214
1.320
13-35
0.064
0.825
0.908
12.52
O.O26
0-334
0-383
10.72
4I97-257
0.092
1.189
1.295
I3-09
0.066
0.871
0-954
13-15
O.O26
0.330
0-379
10.60
4203.730
4209.144
0.096
1-243
1-349
13-64
0.066
0.862
0-945
13.03
0.032
0.392
0.441
12.34
4216.136
0.094
1. 212
1.318
13-33
0.068
0.890
0-973
13-41
O.O28
0.358
0.407
"•39
4220.509
0.094
1. 221
I-327
I3-42
0.066
0.874
0-957
13-19
0.030
0.391
0.440
12.31
4232.887
0.092
1.186
1.292
13.06
0.064
0.846
0.929
12.80
0.030
0-393
0.442
12.37
4257-8I5
O.IOO
1.279
1-385
14.00
0.072
0.910
0-993
13.69
0.034
0.438
0.487
13-63
4258.477
0.094
1. 211
I-3I7
I3-32
0.068
0.873
0.956
13.18
0.032
0.421
0.470
I3-I5
4265.418
0.098
1.247
1-353
13.68
0.066
0.836
0.919
12.67
0.030
0.383
0-432
12.09
4266.081
0.092
I-I75
1.281
12.95
0.064
0.811
0.894
12.32
0.032
0.401
0.450
12.59
4268.915
0.098
•239
1-345
13.60
0.070
0.900
0.983
13-55
0.032
0.415
0.464
12.98
4276.836
0.096
.230
1.336
I3-SI
0.068
0.870
0-953
13-14
0.030
0-389
0.438
12.25
4284.838
0.094
.197
1-303
I3-I7
0.070
0.86 1
0-944
13.01
0.036
0.465
0.514
14-38
4287.566
0.096
.2IO
1.316
I3-30
0-074
0.890
0-973
13-41
0.034
0.446
0-495
13-85
4288.310
0.098
.231
1-337
I3-52
0.068
0-933
1.016
14.00
0.032
0.432
0.481
13-46
4290.377
0.096
.219
I-325
13-39
0.070
0.845
0.928
12.79
0.034
0.446
0-495
13-85
4290.542
0.092
.169
1-275
12.89
0.072
0.874
0-957
13-19
O.O26
0.330
0-379
10.60
4291.630
0.096
.216
1.322
I3-36
0.072
0.899
0.982
13-54
0.034
0.432
0.481
13-46
4294.936
0.096
.219
I-325
13-39
0.072
0.902
0.985
13-58
0.032
0-399
0.448
12.53
20 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate ia 19. 1906, June 12, 6h 45m G. M. T. Measured by L. on T. Distance from Limb 2.2 mm. Quality, good.
Q 80.8
14.9
14.9
75-
3-i
i. 002
O-n 60.4
29.9
29.9
60.
1.6
I.OOO
P II. 2
44-9
44-9
45-
i.i
1. 000
D 0.9
59-9
59-9
30-
0.9
I.OOO
Diameter 169.1 mm
74-9
74-9
IS-
0.8
I.OOO
Factor 1.027
89.9
89.9
o.
[ 0.8
I.OOO
0 •= °!i
0 = isti
<t> = 3o!i
A
V
» + »!
1
A
V
» + »!
£
A
»
t> + t>,
s
km
km
0
km
km
0
km
km
0
4196.699
0.150
1-945
2.078
14-75
0.139
1.809
1.941
14.27
0.118
1-533
1.656
13-59
4197.257
0.152
1.970
2.103
14-93
0.140
1.820
1.952
14-35
0.118
1-533
1.656
13-59
4203.730
0.149
1.932
2.065
14.66
0.140
1.817
1.949
14-32
O.I22
1-583
1.706
14.00
4209.144
0.148
1.919
2.052
14-57
0.144
1.864
1.996
14.68
O.I2I
1-567
1.690
13-87
4216.136
0.150
1-937
2.070
14.70
0.137
1.770
1.902
13-99
0.116
1.498
1.621
13-30
4220.509
0.147
1.896
2.029
14.40
o.i44
1.817
1.949
14.32
O.Iig
1-532
I.655
13-58
4232.887
0.156
1.890
2.023
I4-36
0.144
1.847
1.979
14-55
O.I22
1-565
1.688
13-85
4257.815
0.150
1.904
2.037
14.46
0.140
1-773
1.905
14.01
0.124
1-574
1.697
13-93
4258.477
0.151
1.914
2.047
14-53
0.146
1.848
1.980
14.56
0.123
1-563
1.686
13.84
4265.418
0.152
1.926
2.059
14.62
0.146
1.848
1.980
14-56
O.I24
1-57'
1.694
13.90
4266.081
0.150
1.901
2.044
I4-5I
0.143
1.809
1.941
14.27
O.I2I
1-530
1-653
13-56
4268.915
0.151
1.910
2.043
14.50
0.140
1.769
1.901
13.98
O.I24
1-570
1.693
13.89
4276.836
0.152
1.914
2.047
14-53
0.145
1.822
1-954
14-37
O.I26
1.588
1.711
14.04
4284.838
0.152
1.910
2.043
14.50
0-145
1.822
1-954
14.37
0.122
1-534
1-657
13.60
4287.566
0.154
1-937
2.070
14.70
0.142
1.782
1.914
14.07
0.124
I.556
1.679
13-78
4288.310
0-153
1.919
0.052
14-57
0.142
1.782
1.914
14.07
O.I24
1-556
1.679
13-78
4290.377
0.154
1.932
2.065
14.66
0.141
1.771
I-903
14.00
O.I22
1-529
1.652
13-56
4290.542
0.150
1.881
2.014
I4-30
0.146
1.830
1.962
14.42
0.125
1.569
1.692
13.88
4291.630
0.152
1-905
2.038
14.47
0.146
1.830
1.962
14.42
O.I26
1-574
1.697
13-93
4294.936
0.156
1-954
2.089
14.82
0.144
1.804
1.936
14-23
O.I2I
i-Si3
1.636
13-42
<t> = 4S:i
0 = &>:i
* = 75?i
4196.699
0.088
I-I45
1.250
12-57
0.058
0-755
0-835
11.89
0.028
0.364
0.414
u-43
4197-257
0.088
1. 145
1.250
12.57
0.059
0.768
0.848
1 2.08
0.028
0.364
0.414
n-43
4203.730
0.091
1.181
1.286
12-93
0.059
0.766
0.846
12.05
0.031
0.403
0-453
12.51
4209.144
0.092
1.191
1.296
13-03
0.06 1
0.790
0.870
12.38
0.031
0.402
0.452
12.48
4216.136
0.090
1.162
1.267
12.74
0.058
0.751
0.831
11.84
0.030
0.387
0-437
12.07
4220.509
0.092
1.186
1.291
12.98
0.062
0-799
0.879
12.52
0.032
0.413
0-463
12.78
4232.887
0.090
I-I55
1.260
12.67
0.063
0.809
0.889
12.66
0.033
0.423
0-473
13.06
4257-815
0.095
1.209
I-3H
13.21
0.064
0.814
0.894
12.73
0.034
0.433
0.483
13-34
4258.477
0.094
1.191
1.296
13-03
0.062
0.788
0.868
12.36
0.033
0.419
0.469
12.95
4265.418
0.092
1.166
1.271
12.78
0.063
0.798
0.878
12.50
0.032
0.406
0.456
12.59
4266.081
0.094
1.190
1-295
13.02
0.065
0.824
0.904
12.87
0.034
0.431
0.481
13.28
4268.915
0.093
I-I73
1.278
12.85
0.062
0-783
0.863
12.29
0.033
0.418
0.468
12.92
4276.836
0.091
1.149
1-254
12. 6l
0.062
0.783
0.863
12.29
0.034
0.430
0.480
13-25
4284.838
0.094
1.183
1.288
12.95
0.065
0.817
0.897
12.78
0.033
0.416
0.466
12.87
4287.566
0.094
1.182
1.287
12.94
0.065
0.805
0.885
12.60
0.033
0.415
0.465
12.84
4288.310
0.093
1.169
1.274
12.81
0.064
0.805
0.885
12.60
0-033
0.415
0.465
12.84
4290.377
0.094
1.181
1.286
12.93
0.062
0-779
0.859
12.23
0-033
0.414
0.464
12.81
4290.542
0.094
1.180
1.285
12.92
0.064
0.804
0.884
12-59
0.034
0.427
0.477
I3-I7
4291.630
0.094
1.179
1.284
12.91
0.064
0.804
0.884
12-59
0.034
0.426
0.476
13-14
4294.936
0.094
1.179
1.284
12.91
0.066
0.827
0.907
12.92
0.032
0.401
0.451
12.45
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
21
Plate
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
20. 1906, June 12, 7h i5m G. M. T. Measured by L. on T. Distance from Limb 2.2 mm. Quality, good.
p— P T 0 i) seci
O 80.9
o-n 6.5
29-9
29.9
p ii. i
44-9
44-9
D 0.9
59-9
59-9
Diameter 169.1 mm
74-9
74-9
Factor 1.027
89-9
89.9
60. 1
30.1
O.I
1.6
i.i
0.9
0.8
0.8
I.OOO
I.OOO
I.OOO
I.OOO
I.OOO
0 =
o:<
0 =
is!i
0 =
3o!i
A
•o
M-.,
«
A
V
v + v1
f
A
»
»+»!
{
km
km
.
km
km
0
km
km
O
4196.699
0.146
.901
2.034
14-44
0-137
1-779
1.911
14.05
0.116
1.508
1.631
I3-38
4197-257
0.147
.911
2-044
I4-5I
0-139
1.800
1-932
14.21
0.119
1-544
1.667
13-68
4203.730
0.152
.971
2.104
14.94
0.141
1.822
1-954
14-37
O.I2I
1.566
1.689
13.86
4209.144
0.151
•950
2.083
14-79
0.140
i. 806
1.938
14-25
O.I22
1-575
1.698
13-93
4216.136
0.148
.910
2.043
14.50
0.138
1.782
1.914
14.07
O.IlS
I-523
1.646
I3-5I
4220.509
0.150
•935
2.068
14-68
0.142
1.826
1.958
14.40
O.IlS
1.521
1.644
13-49
4232.887
0.154
•975
2.108
U-97
0.142
1.820
1-952
14-35
0.122
1-563
1.686
13-84
4257-815
0.156
.982
2.II5
I5.O2
0.144
1.828
1.960
14.41
O.I24
1-575
1.698
13-93
4258.477
0.152
•929
2.062
14.64
0.143
1.813
1-945
14.30
O.I22
1-550
1-673
13-73
4265.418
0-153
•939
2.072
14.71
0.140
1.772
1.904
14.00
O.I2I
1-530
I-653
I3-56
4266.081
0-153
•939
2.072
14.71
0.144
1.817
1-949
14.32
0.123
1.551
1.674
13-74
4268.915
0.152
•924
2.057
14.60
0.143
1.805
1-937
14.24
O.I22
J-539
1.662
13.64
4276.836
0-154
•945
2.078
14-75
0.143
1.803
1-935
14.23
0.122
1-537
i. 660
13.62
4284.838
0.150
.890
2.023
14.36
0.142
1.786
1.918
14.10
O.I24
1-559
1.682
13.80
4287.566
0.152
.910
2.043
14-50
0.142
1.781
I-9I3
14.07
O.I22
1-530
1-653
I3-56
4288.310
0.154
•931
2.064
14.65
0.144
1.805
1-937
14.24
O.I2I
I-5I9
1.642
13-47
4290-377
0.152
.909
2.042
14-49
0.142
1.780
1.912
14.06
O.I 2O
1-508
1.631
13-38
4290.542
0-153
.920
2-053
I4-58
0-143
1.794
1.926
14.16
O.I 2O
1-504
1.627
13-35
4291.630
0.152
.909
2.042
14.49
0.142
1.780
1.912
14.06
0.122
1-528
1.651
13-55
4294.936
0.156
1-954
2.087
14.82
0.140
1-753
1.885
13.86
O.I 21
I-5I7
1.640
13.46
0 =
4*
0 =
•*
4196.699
0.086
1.116
1. 221
12.28
0.056
0.730
0.810
11-54
4197-257
0.088
1.141
1.246
12-53
0.058
0.752
0.832
11.85
4203.730
0.090
1.165
1.270
12.77
0.059
0.765
0.845
12.03
4209.144
0.091
.178
1.283
12.90
0.060
0-775
0-855
12.18
4216.136
0.088
-136
I.24I
12.48
0.058
0.749
0.829
11.81
4220.509
0.089
-145
1.250
12-57
0.062
0.799
0.879
12.52
4232-887
0.092
.179
1.284
12.91
0.062
0.797
0.877
12.49
4257-815
0.096
.217
1-322
13.29
0.066
0-839
0.919
13.09
4258.477
0.094
•193
1.298
13-05
0.064
0.813
0.893
12.72
4265.418
0.091
•151
1.256
12.63
0.063
0.801
0.881
12-55
4266.081
0.096
•215
1.320
13-27
0.065
0.823
0-903
12.86
4268.915
0-093
•175
1.280
12.87
0.063
0-797
0.877
12.49
4276.836
0-093
•173
1.278
12.85
0.062
0.785
0.865
12.32
4284.838
0.092
•159
.262
12.69
0.06 1
0.770
0.850
1 2. 1 1
4287.566
0.090
.132
•237
12.42
0.064
0.804
0.884
12-59
4288.310
0.094
.181
.286
12-93
0.062
0-779
0.859
12.23
4290.377
0.091
.141
.246
12-53
0.063
0.790
0.870
12.39
4290.542
0.091
.141
.246
"•S3
0.062
0-775
0-855
12.18
4291.630
0.091
.141
.246
12-53
0.064
0-799
0.879
12.52
4294.936
0.094
.179
.284
12.91
0.063
0.789
0.869
12.38
22 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate w 21. 1906, June 12, 7" 45™ G. M. T. Measured by L. on T. Distance from Limb 2.2 mm. Quality, good.
P-P
0
o-n
p
D
80.9
6-5
it. i
0.9
Diameter 169.1 mm
Factor 1.027
14.9
14.9
75-i
3-2
.002
29.9
29.9
60. i
1.6
.OOO
44.9
44-9
45- 1
i.i
.OOO
59.9
59-9
30.1
0.9
.000
73-9
73-9
16.1
0.8
.000
74-9
74-9
iS-i
0.8
.000
89.9
89.9
O.I
0.8
.000
#-*
0 - rfi
* - .a:,
A
V
, + ,,
1
A
V
, + „
i
A
V
V + II j
i.
4196.699
0.146
km
.897
km
2.030
0
14.41
0.138
km
1.794
km
1.926
D
I4.I6
0.137
km
.780
km
1.912
14-13
4197-257
0.148
•923
2.056
14.60
0-139
1.801
1-933
14.21
0.138
.790
1.922
14.20
4203.730
0.149
•934
2.067
14.67
0.141
1-823
1-955
14.38
0.140
.812
1.944
14-36
4209.144
0.152
•963
2.096
14.88
0.142
.831
1.963
14.21
0.139
.796
1.928
14.24
4216.136
0.148
.910
2.043
14-50
0-139
•793
1.925
I4.l6
0.138
•779
I.9II
14.12
4220.509
0.150
•934
2.067
14.67
0.140
.801
1-933
14.21
0.139
.791
1.923
14 21
4232.887
0.152
•942
2.075
M-73
0.143
.822
1-954
14-37
0-143
•833
1.965
I4.52
4257-SiS
0.154
-953
2.086
14.81
0.143
.825
1-957
14-39
0.145
.840
1.972
14-57
4258.47?
0.152
.928
2.061
14.63
0.142
.800
1.932
14.21
0.143
.815
1.947
14.38
4265.418
0.154
•949
2.082
14.78
0.144
.822
1-954
14-37
0.144
.823
1-955
14.44
4266.081
0.152
•924
2-057
14.60
0-143
.808
1.940
14.27
0.142
.805
1-937
I4-3I
4268.915
0.150
.898
2.031
14.42
0.143
•803
1-935
I4.23
0.144
.822
1-954
14.44
4276.836
0-153
•930
2.063
14.65
0.145
.824
1.956
14.38
0.142
•794
1.926
14.23
4284.838
0-153
1.923
2.056
14.60
0.142
.786
1.918
I4.IO
0.144
•815
1.947
14.38
4287.566
0.154
1.936
2.069
14.69
0.143
•795
1.927
14.17
0.146
•835
1.967
14-53
4288.310
0.154
1-935
2.068
14.68
0.143
-795
1.927
14.17
0.140
.760
1.892
13.98
4290.37?
0.150
1.885
2.018
14-33
0.145
1.819
I-95I
14-35
0.143
•794
1.926
14.23
4290.542
0.152
1.907
2.040
14.48
0.142
1.780
1.912
I4.O6
0.142
.784
1.916
14.16
4291.630
0-153
1.920
2.053
14.58
0.144
1.804
1.936
14.24
0.144
.809
1.941
14-34
4294-936
0.154
1.929
2.062
14.64
0.141
1.768
1.900
13-97
0.145
.818
1.950
14.41
\
<t> = 3°!'
. = 45!,
<t> — 6o°i
* = K°.<
A
A
V
. + ,,
£
A
s
. + ,,
£
A
V
M-i
£
A
«
, + ,,
«
km
km
.
km
km
0
km
km
0
km
km
0
4196.699
0.116
I.5I5
1.63*
13-44
0.088
1.146
1.251
12.58
0.056
0.727
0.8o;
11.49
0.027
0-354
0.40.1
11.15
4197.257
0.120
1-555
1.67?
13-77
0.087
1.131
i.23C
12.43
0.058
0.749
0.82C
11.81
0.029
0-375
0.42;
"•73
4203.730
O.I 2O
•552
1.675
13-74
0.090
1.165
I.27C
> 12.77
0.06 1
0.788
0.86*
12.36
0.030
0.389
0-43?
12.12
4209.144
O.I 2O
•550
I-673
13-73
0.090
1.164
I.26{
12.76
0.06 1
0.787
0.86;
12.35
0.030
0.389
o-43?
12.12
42I6.I36
0.118
•523
1.641
13-51
0.090
1.162
1.26-
12.74
0.057
0-735
0.8 1 ;
ii. 61
0.029
0-374
0.424
II-7I
4220.509
O.I 2O
•546
1.66?
13-70
0.090
1.161
I.26(
' 12.73
0.060
0-774
0.854
12. 16
0.031
0.398
0.44?
12-37
4232.887
O.I2I
•552
1.67;
J3-75
0.095
1.213
I.3IJ
! 13.26
0.06 1
o.779
o.85c
12.23
0.032
0.423
0-473
13.04
4257.815
0.124
-568
1.691
13.88
0.098
1.244
I-34C
1 13-57
0.064
0.810
o.Sgc
i 12.68
0.034
0.438
0.48?
13-47
4258.477
O.I22
•543
i.66f
13-67
0.093
1.189
1.29^
I 13-01
0.062
0.785
0.86 =
12.32
0.034
0.409
0-45?
12.67
4265.418
O.I22
•54i
1.664
13-65
0.094
1.187
1.29:
12.99
0.062
0.784
0.86^
12.30
0.032
0.404
0-454
12-54
4266.081
0.123
•555
1.678
13-78
0.092
1.166
1.271
12.78
0.064
0.808
0.88?
12.65
0.031
0-434
0.484) 13.36
4268.915
0. 121
•529
1.65:
13-56
0.092
1.165
I.27C
> 12.77
0.060
0-759
o.83c
n-95
0.034
0-454
0.504
13.92
4276.836
O.I22
•537
i.66c
> 13.62
0.093
1.174
I.27C
1 12.86
0.064
0.806
o.88(
12.62
0.032
0.419
0.46$
12-95
4284.838
O.I2I
-524
1.64;
13-52
0.094
1.182
1.28-
' 12.94
0.062
0.784
0.864
12.30
0.032
0.403
0-453
12.51
4287.566
O.I22
•53°
1-65;
13-56
0.093
1.167
1.27:
12.79
0.064
0.801
0.881
12.55
0.034
0.428
0.478
13.20
4288.3IO
0.122
•529
1.65:
13-56
0.092
1.157
1.26:
12.69
0.062
0-779
o.8Sc
12.23
0.034
0.428
0.478! 13.20
4290.377
0.126
•578
1.701
13.96
0.093
1.167
1.27:
12.79
0.061
0.769
0.84?
12.09
0.032
0.402
0.452
12.48
4290.542
0.123
•543
I.66C
13-67
0.091
1.146
1.251
12.58
0.064
0.800
o.88c
> 12.53
0.031
0.388
0.438
12.09
4291.630
0.124
1-553
i.6jt
13-75
0.090
1.131
I.23<
> 12.43
0.063
0.789
o.86c
12.38
0.034
0.428
0-47*
13.20
4294.936
O.I22
I-527
i.osc
13-54
0.092
I.26<
> 12.67
0.062
0.779
0-85?
12.23
0.034
0.427
0.473
I3-I7
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate ID 23. 1906, June 15, 6h om G. M. T. Measured by L. on T. Distance from Limb 2.3 mm. Quality, good.
p— P T 0 1 secTi
Q
83-7
15.0
iS-o
75-0
4.5
I.OO3
0-0
9-3
31.0
31.0
59-°
2-3
1. 001
P
9-9
4S-o
4S-°
45-°
i-7
I.OOO
D
1.2
60.0
60.0
30.0
1.4
I.OOO
Diameter
169.3 mm
7S-o
7S-°
15.0
1.2
I.OOO
Factor
1.028
90.0
90.0
0.0
1.2
I.OOO
<*> =
o°o
0 =
is!o
<t> =
3°!°
A
V
v + vl
1
A
»
»+»i
£
A
V
» + T,
£
km
km
0
km
km
0
km
km
o
4196.699
0.146
1.900
2-033
14-43
0.138
1-797
.929
14.18
0.118
•536
1.659
13.60
4197-257
0.148
1.925
2.058
14.61
0.138
1-797
•929
14.18
0.119
•547
1.670
13.69
4203.730
0.149
1.936
2.069
14.69
0.140
1.815
•947
14-31
0.119
•545
1.668
13-67
4209.144
0.150
1-913
2.046
14-53
0.141
1.824
•956
14.38
O.I 21
•567
1.690
13-85
4216.136
0.148
1.893
2.026
14-38
0138
1-785
.917
14.09
O.II8
.526
1.649
13-52
4220.509
0.150
1.903
2.036
14-45
0.140
.808
.940
14.26
O.IlS
•524
1.647
13-50
4232.887
0.150
1-903
2.036
14-45
0.142
.825
•957
14.38
O.I22
.566
1.689
13-85
4257-815
0.152
1.930
2.063
14-65
0.143
.817
•949
14-33
0.122
•547
1.670
13.69
4258.477
0.153
1.948
2.081
14-77
0.143
.817
•949
14.33
O.I23
1-557
i. 680
13-77
4265.418
0.154
1.952
2.085
14.80
0.145
.832
.964
14.44
O.I22
1-544
1.667
13-67
4266.081
0.152
1.926
2.059
14.62
0.142
.800
•932
14.20
0.123
1-554
1.677
13-75
4268.915
0.153
1-935
2.068
14.68
0.144
.820
•952
14.35
O.I24
i-57i
1.694
13-88
4276.836
0.156
1.969
2.102
14.92
0.140
.768
1.900
13.96
O.I2I
1.526
1.649
13-52
4284.838
0-153
1.928
2.o6l
14.63
0.142
.786
1.918
14.10
0.123
1.548
1.671
13-70
4287.566
0.153
1.927
2.o6o
14.62
0.143
.798
1-930
14.18
O.I2I
1.522
1.645
13-49
4288.310
0.152
1.909
2.042
14.50
0.143
•798
1.930
14.18
0.123
1.546
1.669
13.68
4290-377
0.152
1.909
2.042
14-50
0.142
-783
I-9IS
14.08
0.124
1.560
1.683
13.80
4290.542
0.151
1.898
2.031
14.42
0.142
-783
I-9I5
14.08
O.I22
'•535
1.658
13-59
4291.630
0.152
1.907
2.040
14.48
0.144
.807
1-939
14-25
0.123
I-S4S
1.668
13-67
4294.936
0.152
1.907
2.O40
14.48
0.142
.781
1.912
14.05
O.I24
1-558
i. 68 1
13-78
0 =
45!°
<t> =
S9°.°
<t> =
is'.o
4196.699
0.087
1.132
1-237
12.42
0.057
0-743
0.825
"•37
O.O29
0.380
0.430
n.8o
4197-257
0.090
1.163
1.268
12.73
0.057
0-743
0.825
11-37
0.030
0.391
0.441
12 IO
4203.730
0.088
I-I45
1.250
12-55
0.059
0.766
0.848
11.69
O.028
0.365
0.415
11.38
4209.144
0.092
1.191
.296
13.01
0.060
0.776
0.858
11.83
0.030
0.389
0-439
I2.O4
4216.136
0.087
1. 122
.227
12.32
0.058
0.750
0.832
11.47
O.O29
0.378
0.428
11.74
4220.509
0.088
I-I37
.242
12-47
0.061
0.787
0.869
11.98
0.030
0.388
0.438
12.01
4232.887
0.090
I-IS4
•259
12.64
0.062
0.799
0.881
12.14
0.031
0.398
0.448
12.29
4257-815
0.092
I.I7O
•275
12.80
0.062
0.791
0.873
12.03
0.031
0.396
0.446
12.23
4258.477
0.094
I-I95
.300
I3-05
0.062
0.791
0.873
12.03
0.030
0-379
0.429
11.77
4265.418
0.092
1.165
1.270
12.75
0.063
0.800
0.882
12. 16
0.032
0.386
0.436
11.96
4266.081
0.090
I-I39
1.244
12.49
0.062
0.789
0.871
I2.OI
0.034
0.431
0.481
13-19
4268.915
0.091
I.I5I
1.256
12. 6l
0.058
0-734
0.8 1 6
11.25
0.032
0.405
0-455
12.48
4276.836
0.092
1.161
1.266
12.71
0.062
0.787
0.869
11.98
0.032
0.405
0-455
12.48
4284.838
0.094
1.184
1.289
12.94
0.063
0-793
0.875
I 2. 06
0.031
0-393
0-443
12.15
4287.566
0.092
1.158
1.263
12.68
0.06 1
0.766
0.848
11.69
0.031
0-393
0-443
12.15
4288.310
0.093
1.164
1.269
12-74
0.062
0.780
0.862
11.88
0.031
0-393
0-443
12.15
4200.377
0.089
1.116
1. 221
12.26
0.062
0-779
0.861
11.87
0.032
0.403
0-453
12.43
4290.542
0.090
1.131
1.236
12.41
0.060
0-755
0.837
"•54
0.032
0.403
0-453
12-43
4291.630
0.094
1.182
1.287
12.91
0.061
0.765
0.847
11.68
0.032
0.403
0-453
12.43
4294.936
0.090
1.130
1.235
12.40
0.065
0.815
0.897
12.36
0.031
0.389
0-439
12.04
24 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate w 24. 1906, June 15, 6h 15™ G. M. T. Measured by L. on T. Distance from Limb 2.4 mm. Quality, good.
P-P
sec?)
O
o-n
p
D
83-7
9-3
9.9
1.2
Diameter 169.5 mm
Factor 1.030
15.0
30.0
15.0
30.0
7S-°
60.0
4-5
2.2
1.003
I.OOI
45-°
60.0
45-o
60.0
4S-o
30.0
1.7
J-4
1. 000
1. 000
75-o
7S-o
15.0
1.2
I.OOO
90.0
90.0
o.o
1.2
I.OOO
<t> — o°o
<t> = is!o
0 = 30°o
A
»
V+ Dj
e
A
11
i> + fl,
£
A
V
D + Dj
£
km
km
0
km
km
,
km
km
.
4196.699
0.148
1.923
2.056
14.60
0.138
•795
1.927
14.16
0.118
1-540
1.663
13-63
4197.257
0.147
I.QI2
2-045
14-52
0.138
•795
1.927
14.16
0.117
I.52S
1.648
I3-5I
4203.730
0.150
1.946
2.079
14.76
0.138
•792
1.924
14.14
O.I2I
1-575
1.698
13.92
4209.144
0.150
1.944
2.077
14-75
0.140
-815
1.947
14-31
O.I 2O
1-558
I.68I
I3-78
4216.136
0.146
I.SgO
2.023
14-36
0.138
.790
1.922
14-13
O.II8
1.528
1.651
13-53
4220.509
0.150
1.940
2.073
14.72
0.141
.821
1-953
14-35
O.I22
1.581
1.704
13-97
4232.887
0.152
1-955
2.088
14.82
0.142
.827
1-959
14.40
O.I22
I-57I
1.694
13.89
4257.815
0.153
i-95i
2.084
14.79
0.145
.848
1.980
M-55
0.122
i-553
1.676
13-74
4258.477
0.154
1.958
2.091
14-85
0.142
1.805
1-937
14.24
O.I2I
1-541
1.664
13.64
4265.418
0-155
1.969
2.IO2
14.92
0.142
1.802
1-934
14.21
0.123
1.562
1.685
13.81
4266.081
0.153
1-939
2.072
14.71
0.143
1.816
1.948
14.32
O.I2I
1-537
1. 660
13.61
4268.915
0.153
1-937
2.O7O
14.70
0.142
.801
1-933
14.21
0.122
1-548
1.671
13.70
4276.836
0.152
1.923
2.056
14.60
0.144
.822
1-954
14.36
0.123
1-555
1.678
13.76
4284.838
0.153
I-93I
2.064
14.65
0.142
.788
1.920
14.11
0.123
i-55i
1.674
13.72
4287.566
0.153
1.926
2.059
14.62
0.144
.814
1.946
14.30
O.I22
I-536
1.659
13.60
4288.310
0.155
i-95i
2.084
14.80
0.143
.800
1.932
14.20
0.124
1.560
1.683
13.80
4290.377
0.151
1.900
2-033
14.43
0.142
1-785
1.917
14.09
0.123
J-547
1.670
13.69
4290.542
0.152
1.911
2.044
M-S1
0.143
1.799
I-93I
14.19
O.I22
1-535
1.658
13-59
4291.630
0.153
1.924
2.057
14.60
0.142
1.785
1.917
14.09
0.125
i-57i
1.694
13.89
4294.936
0.152
1.909
2.O42
14.50
0.144
i. 808
1.940
14.26
O.I24
J-555
1.678
I3-76
<t> = 4Sto
0 =6o?o
<t> = 75!°
4196.699
0.089
1.162
1.267
12.72
0.060
0.779
0.86 1
12.23
O.O28
0.366
0.416
11.41
4197.257
0.088
1.147
1.252
12.57
0.058
0-754
0.836
11.87
O.O28
0.366
0.416
11.41
4203.730
0.090
1.172
1.277
12.82
0.060
0.778
0.860
12.21
0.030
0.390
0.440
12.07
4209.144
0.091
1.182
.287
12.92
0.059
0.763
0.845
12.00
0.031
0.400
0.450
12.34
4216.136
0.088
1.140
•245
12.50
0.058
0-751
0-833
11.83
0.030
0.389
0-439
12.04
4220.509
0.090
1.164
.269
12.74
0.060
0-777
0.859
12. 2O
0.030
0.389
0-439
12.04
4232.887
0.091
1.172
•277
12.82
0.062
0.800
0.882
12-52
0.032
0.412
0.462
12.67
4257.815
0.092
1.171
.276
12.81
0.066
0.841
0.923
13.11
0.034
0.431
0.481
13-19
4258.477
0.091
I-I59
.264
12.69
0.062
0.789
0.871
12-37
0.033
0.420
0.470
12.89
4265.418
0.093
1.181
.286
12.91
0.064
0.815
0.897
12.74
0-033
0.420
0.470
12.89
4266.081
0.094
1.194
-299
13-04
0.062
0.787
0.869
12.34
0-033
0.420
0.470
12.89
4268.915
0.092
1.167
.272
12-77
0.062
0.787
0.869
12-34
0.032
0-405
0-455
12.48
4276.836
0.092
1.164
.269
12.74
0.063
0.800
0.882
12.52
0.031
0-394
0.444
12. 18
4284.838
0.090
i-i3S
.240
12.45
0.062
0.782
0.864
12-37
0.031
0-393
0-443
12.15
4287.566
0.093
1.170
-275
12.80
0.065
0.816
0.898
12.75
0-035
0.441
0.491
13-47
4288.310
0.092
1.158
.263
12.68
0.063
0.792
0.874
12.41
0.032
0.404
0-454
12.45
4290.377
0.094
1.182
.287
12.92
0.060
0.762
0.844
11.98
0.032
0.404
0.454
12.45
4290.542
0.093
1.170
•275
12.80
0.062
0.781
0.863
12.25
0-033
0.414
0.464
12.73
4291.630
0.093
1.169
1.274
12.79
0.066
0.831
0.913
12.96
0.032
0.403
0-453
12.43
4294.936
0.094
1.179
1.284
12.89
0.064
0.806
0.888
12.61
0.032
0.403
0-453
12.43
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate u 25. 1906, June 15, 6h 35™ G. M. T. Measured by L. on T. Distance from Limb 2.3 mm. Quality, good.
P-f
sec 7)
O
o-n
p
D
83-7
9-3
9.9
1.2
Diameter 169.5 mm
Factor i .030
15.0
30.0
15.0
30.0
7S-o
60.0
4-5
2-3
1.003
I.OOI
45-o
60.0
45-°
60.0
45-o
30.0
i-7
1.4
1. 000
I.OOO
75-Q
7S-°
15.0
1.2
I.OOO
90.0
90.0
o.o
1.2
I.OOO
#-
o°o
0 =
is!°
*-
3°!°
A
•
M-.,
1
A
V
. + .,
f
A
V
,-M,
£
km
km
„
km
km
0
km
km
0
4196.699
0.149
•943
2.076
14-74
0.139
1.810
1.942
14.27
0.118
1-537
1.660
13.61
4197-257
0.150
•957
2.090
14.84
0.142
1.847
1.979
14-55
O.I 2O
•564
1.687
13-83
4203.730
0.151
•965
2.098
14.89
0.144
1.869
2.OOI
14.71
0.118
-540
1.663
13-63
4209.144
o.i54
.989
2.122
15.06
0.144
1.867
1.999
14.69
0.127
.651
1-774
14-54
4216.136
0.146
.889
2.022
14.36
0.141
1.823
1-955
14-37
0.116
.502
-625
13-32
4220.509
0.150
•937
2.070
14.70
0.146
1.887
2.019
14.84
0.125
.614
•737
14.24
4232-887
0.151
•943
2.076
14.74
0.144
1-853
1.985
14-59
0.120
-542
.665
13-65
4257-8I5
0.150
.911
2.044
14-51
0.145
1.843
1-975
14-52
0.124
-576
.699
13-93
4258-477
O.I5S
.961
2.094
14-87
0.145
1-843
1-975
14-52
O.I 2O
.526
•649
13-52
4265.418
0.147
.867
2.OOO
14.20
0.146
1-854
1.986
14.60
0.125
.586
•709
14.01
4266.081
0.151
.917
2.O50
H-55
0.148
1.878
2.010
14-77
O.I 20
-524
.647
13-50
4268.915
0.152
.927
2.060
14.62
0.146
1.851
1.983
14-58
O.I 21
•530
•653
13-55
4276-836
0.151
.909
2.O42
14.50
0.143
1. 808
1.940
14.26
O.I22
• 541
.664
13-64
4284.838
0.154
.941
2.074
14.72
0.144
1.818
1.950
14-33
0.122
-538
.661
13.62
4287.566
0.154
•936
2.069
14.69
0.146
1.839
1.971
14.49
O.II9
•499
.622
13-30
4288.310
0-153
•925
2.058
14.61
0.142
1-777
1.909
14-03
O.II7
•474
•597
13.09
4290.377
0.152
.911
2.044
I4-5I
0.138
1.738
1.870
13-74
0.120
.508
.631
13-37
4290.542
0-153
.921
2.054
14.58
0.142
1.776
1.908
14.02
O.I22
•533
.656
13-58
4291-630
0.150
.888
2.O2I
14-35
0.142
1.776
1.908
14.02
O.II9
•497
.620
13.28
4294-936
0.152
•909
2.O42
14.50
0-144
1.808
1.940
14.26
O.I2I
•517
.640
13-44
*-
45>
*-
6o°o
,-
75?°
4196.699
0.087
•135
1.240
12.45
0.054
0.703
0.785
11.15
0.026
0.340
0.390
10.63
4197-257
0.088
• 147
1.252
12.57
0-059
0.769
0.851
1 2.08
0.035
0.442
0.492
13-41
4203.730
0.086
.120
1.225
12.30
0.063
0.819
0.901
12.79
0.032
0.416
0.466
12.70
4209.144
0.090
.169
1.274
12-79
0.066
0-855
0-937
13-30
0.031
0.405
0-455
12.40
4216.136
0.086
.114
1.219
12.24
0-053
0.685
0.767
10.89
0.025
0-324
0-374
10.19
4220.509
0.096
.242
1-347
I3-S2
0.058
0.748
0.830
11.79
0.031
0.342
0.392
10.68
4232.887
0.093
.197
1.302
13-07
0.062
0.798
0.880
12.50
0.032
0.411
0.461
12.56
4257-815
0.092
.171
1.276
12.81
0.062
0.790
0.872
12.38
0.034
0.447
0-497
13-54
4258.477
0.090
•145
1.250
12-55
0.060
0.764
0.846
12.01
O.027
0-345
0-395
10.76
4265.418
0.086
.092
1.197
12. 02
0.064
0-759
0.841
11.94
0.031
0-394
0-444
12.10
4266.081
0.096
.220
1-325
I3-30
0.06 1
0.776
0.858
12.18
0.026
0-331
0.381
10.38
4268.915
o.ogi
•155
1.260
12.65
0.065
0-776
0.858
12.18
0.032
0.406
0.456
12-43
4276.836
0.090
.138
1-243
12.48
0.063
0.800
0.882
12.52
0.032
0.406
0.456
12.43
4284.838
0.095
•°95
i. 200
12.05
0.068
0.857
0-939
13-33
0.028
0-354
0.404
II. OI
4287.566
0.092
.158
1.263
12.68
0.066
0-832
0.914
12.98
0.030
0.378
0.428
11.66
4288.310
0.091
•H5
1.250
12-55
0.057
0.717
0-799
"•35
O.O29
0.364
0.414
11.28
4290.377
0.096
.207
1.312
13-17
0.064
0.807
0.889
12.62
0.037
0.465
0.515
14.04
4290.542
0.092
•157
1.262
12.67
0.062
0.782
0.864
12.27
O.O28
0-373
0.423
"•53
4291.630
0.097
.219
1-324
13.29
0.059
0.742
0.824
11.70
O.O29
0.364
0.414
11.28
4294-936
0-097
.217
1.322
13.27
0.064
0.802
0.884
12.55
0.028
0-353
0.403
10.98
26 AN INVESTIGATION OF THE ROTATION PERIOD OP THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate w 26. 1906, June 16, 6'1 20'™ G. M. T. Measured by L. on T. Distance from Limb 2.7 mm. Quality, good.
0 84.5
iS-o
15-1
74-9
4.9
1.004
O-fi 10.1
30.0
30.0
60.0
2-5
I.OOI
P 9-5
45-0
4S-o
45-0
1.8
I.OOI
D 1.3
60.0
60.0
30.0
i-5
I.OOO
Diameter 1 70.0 mm
7S-o
7S-°
15.0
i-3
I.OOO
Factor 1.033
90.0
90.0
o.o
i-3
I.OOO
,-
o?o
#-
is!o
0 =
3°!°
\
A
A
V
, + ,,
1
A
I
, + ,,
e
A
V
11 4- 11,
1
km
km
0
km
km
0
km
km
„
4196.699
0.150
1.956
2.089
14.83
0.138
1.804
1.936
14.22
0.114
1.491
1.614
13.22
4197-257
0.148
1.936
2.069
14.69
0.138
1.803
1-935
14.22
0.115
1.501
1.624
I3-30
4203.730
0.148
I-93I
2.064
14.65
0.144
1.878
2.OIO
14-77
0.116
1.509
1.632
13-37
4209.144
0.152
1.972
2.105
14.94
0.144
1.876
2.008
14-75
O.I 2O
1-558
I.68I
13-77
4216.136
0.147
1.910
2.043
0-137
1-777
1.909
14.02
O.II2
1-455
1-578
12.92
4220.509
0.147
1.910
2.043
14.50
0.144
1.867
1-999
14.69
O.I22
1.581
1.704
13.96
4232.887
0.152
1-963
2.096
14.88
0.144
1.858
1.990
14.62
O.I2I
1.562
1.685
13.80
4257-815
0.159
2.030
2.163
15-36
0.144
1.848
1.980
14.55
O.llS
1.506
1.629
13-34
4258.477
0.155
1.978
2. Ill
14.99
0.147
1.876
2.008
14.75
O.I 2O
I-527
1.650
I3-5I
4265.418
0.152
1.936
2.069
14.69
O.I4S
1.848
1.980
14.55
0.123
1-565
1.688
13.82
4266.081
0.152
1-935
2.068
14.68
0.146
1.858
1.990
14.62
O.llS
I-503
1.626
I3-32
4268.915
0.152
•934
2.067
14.67
0.150
1.907
2.039
14.98
0.116
1.476
1-599
13.10
4276.836
0.151
.912
2.045
14-52
0.144
1.823
1-955
14.36
O.I 2O
1.520
1.643
I3-46
4284.838
0.154
-945
2.078
14-75
0.148
1.867
1-999
14.69
0.116
1-475
1.598
13.09
4287.566
0.151
•907
2.O4O
14-48
0.148
1.867
1-999
14.69
0.122
1-538
i. 66 1
13.60
4288.310
0.150
.904
2.037
14.46
0.149
1. 880
2.OI2
14.78
O.II7
1.481
1.604
I3-I4
4290.37?
0.155
•964
2.097
14.89
0.142
1.790
1.922
14.12
O.llS
1.491
1.614
13.22
4290.542
0.154
•942
2.075
14-73
0.144
1.815
1-947
14-30
O.I 2O
1.512
1-635
13-39
4291.630
0.148
.868
2.001
14.21
0.146
1.841
1-973
14.49
O.I2I
1.522
1.645
13-47
4294.936
0.157
1.976
2.109
14.97
0.144
1.811
1-943
14.27
O.I 2O
1.510
1-633
13-37
,-
45?°
*-
«*,
0 =
74:,
4196.699
0.087
1.136
1.241
12.45
0.060
0.787
0.867
12.27
0.033
0-434
0.484
I3-I9
4197-257
0.086
.126
1.231
12.35
0.058
0.761
0.841
11.91
0.030
0-393
0-443
12.07
4203.730
0.088
•145
1.250
12.54
0.06 1
0.796
0.876
12.40
0.031
0.407
0-457
12.45
4209.144
0.093
.206
1.311
13-14
0.060
0.782
0.862
12. 2O
0.036
0.469
0-519
14.14
4216.136
0.088
.142
1.247
12.51
0.065
0.846
0.926
13.11
0.030
0.391
0.441
I2.O2
4220.509
0.093
• 203
1.308
13.12
0.06 1
0-793
0.873
12.36
0.030
0.390
0.440
"•99
4232.887
0.090
.160
1.265
12.69
0.062
0.801
0.881
12.47
0.034
0.438
0.488
I3-30
4257-815
0.090
1.150
1-255
12.59
0.054
0.732
0.812
11.49
0.030
0-383
0-433
11.80
4258-477
0.092
1.174
1.279
12.83
0.065
0.830
0.913
12.92
0-035
0-445
0.495
13-49
4265.418
0.090
1.148
1-253
12-57
0.059
o-753
0-833
11.79
0.030
0.382
0-432
11.77
4266.081
0.095
1.209
1-314
13.18
0.063
0.803
0.883
12.50
0.032
0.409
0-459
12.51
4268.915
0.094
1.197
1.302
13.06
0.060
0.763
0.843
"•93
0.035
0.444
0-494
13.46
4276.836
0.092
1.166
1.271
12.75
0.063
0.801
0.881
12.47
0.028
0.382
0.432
11.77
4284.838
0.092
1.163
1.268
12.72
0.057
0.716
0.796
11.27
0.034
0.431
0.481
13.11
4287.566
0.093
1-173
1.278
12.82
0.068
0.860
0.940
13-31
0.034
0.431
0.481
13.11
4288.310
0.095
1.199
1.304
13.08
0.06 1
0.770
0.850
12.03
0.030
0.380
0.430
11.72
4290.377
0.092
1.159
1.264
12.68
0.06 1
0.769
0.849
12. 02
0.032
0.406
0.456
12-43
4290.542
0.094
1.183
1.288
12.92
0-057
0.719
0-799
11.31
0.031
0-391
0.441
12. 02
4291.630
0.094
1.183
1.288
12.92
0.058
0-733
0.813
11.51
O.O28
0-355
0.405
II.O4
4294.936
0.096
1.207
1.312
13.16
0.064
0.804
0.884
12.51
0.030
0-379
0.429
11.69
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — -Continued.
Plate » 27. 1906, June 16, 7h sra G. M. T. Measured by L. on T. Distance from Limb 2.7 mm. Quality, good.
t-P
SCOT
o
84.6
15.0
iS-i
74-9
4-9
1.004
o-n
10.2
30.0
30.0
60.0
2-5
I.OOI
p
9-5
4S-o
45-°
45-°
1.8
I.OOI
D
i-3
60.0
60.0
30.0
i-5
I.OOO
Diameter
170.0 mm
7S-o
75-o
15-0
i-3
I.OOO
Factor
i-°33
90.0
90.0
o.o
i-3
I.OOO
•t> -
0°O
0 =
ig'o
<*> =
3°!°
A
V
•0 + II,
£
A
V
v + VL
f.
A
V
» + *'[
1
km
km
0
km
km
0
km
km
0
4196.699
0.152
1.990
2.123
15-07
0.136
1-779
1.911
14.04
0.114
.491
1.614
13-23
4I97-2S7
0.146
1.909
2.O42
14-50
0.134
-753
1.885
13-85
0.116
.516
1.639
13-44
4203.730
0.146
1.906
2.039
14.48
0.137
•785
.917
14.09
0.119
•552
I-675
13.73
4209.144
0.148
1.928
2.o6l
14.63
0.142
-851
•983
14.58
0.122
-584
1.707
13-99
4216.136
0.150
1.949
2.082
14.78
0.138
.791
•923
14.13
0.116
.510
1.623
13-31
4220.509
0.152
1.972
2.105
14.94
0.145
.879
.on
14.78
0.126
-633
I-756
14.40
4232.887
0.150
1-937
2.070
14.70
0.142
-834
.966
14-45
O.I2I
•555
1.678
13.76
42S7-8iS
0.153
1-953
2.086
14.81
0.146
.866
.998
14.69
0.126
.604
1.727
14.16
4258.477
0.152
1.941
2.074
14.72
0.145
.851
1.983
14.58
0.119
•5i7
1.640
13-44
4265.418
0.148
1.885
2.0l8
14-33
0.141
•793
1-925
14.15
O.I22
•553
1.676
13-74
4266.081
0.148
1.885
2.018
14-33
0.141
.792
1.924
14.14
0.122
-553
1.676
13-74
4268.915
0.153
1-947
2.o8o
14-77
0.149
-893
2.025
14.88
0.123
-563
1.686
13.82
4276.836
0.146
1.852
1.985
14.09
0.142
•799
1.932
14.20
O.II9
.510
1-633
13-39
4284.838
0.148
1.872
2.005
14.23
0.145
-833
1.965
14.44
O.IlS
•490
1.613
13.22
4287.566
0.151
1.906
2.039
14.48
0.147
-856
1.988
14.61
O.II7
•478
i. 60 1
13.12
4288.310
0.151
1.906
2.039
14.48
0.142
.790
1.922
14-13
O.I24
.564
1.687
13-83
4290.377
0.151
1.905
2.038
14.47
0.141
.780
1.912
14.05
O.II8
1.488
1.611
13.21
4290.542
0.159
2.005
2.138
15.18
0.148
•865
1.997
14.68
0.120
1.509
1.632
13.38
4291.630
0.161
2.029
2.162
15-35
0.142
.790
1.922
14.13
O.I 21
1.522
1.645
13.49
4294.936
0.156
1.963
2.096
14.88
0.147
.850
1.982
14-57
O.I 2O
1-507
1.630
13-36
#-
45?o
<t"=
6o°o
<*> =
74?9
4196.699
0.084
1.092
1.197
I2.O2
0.056
0-739
0.819
11.63
0.032
0.432
0.482
13.14
4197.257
0.088
I-I53
1.258
12.63
0.059
0.772
0.852
12.10
O.O29
0-394
0.444
12. IO
4203.730
0.082
1.069
1.174
11.79
0.060
0.782
0.862
12.24
0.034
0-457
0.507
13.82
4209.144
0.095
1.238
1.338
13-43
0.060
0.778
0.858
12. l8
0.030
0.404
0-454
12.37
4216.136
0.086
1.118
1.223
12.28
0.06 1
0.794
0.874
12.41
0.032
0.430
0.480
13.08
4220.509
0.092
1.190
1.295
13.00
0.058
0.752
0.834
11.84
O.O29
0-392
0.442
12.05
4232.887
0.094
i. 216
1.321
13.26
0.056
0.706
0.786
ii. 16
O.O28
0-375
0.425
11.58
4257-815
0.092
1.176
1.281
12.86
0.059
0.749
0.829
11.77
O.026
0-343
0-393
10.71
4258.477
0.092
1.174
1.279
12.84
0.060
0.768
0.848
12.04
0.034
0.449
0.499
13.60
4265.418
0.093
1.185
1.290
12.95
0.06 1
0.778
0.858
12. l8
0.034
0.448
0.498
13-57
4266.081
0.096
i. 220
I-325
13-30
0.058
0-737
0.817
1 1. 60
0-035
0.462
0.512
13-95
4268.915
0.092
1.169
1.274
12.79
0.060
0.758
0.838
11.90
0.028
0.369
0.419
11.42
4276.836
0.096
i. 218
I.323
13-28
0.058
0.736
0.816
"•59
O.O28
0.369
0.419
11.42
4284.838
0.096
i. 216
1.321
13.26
0.058
0-734
0.814
11.56
0.032
0.427
0.47.7
13.00
4287.566
0.088
1.114
1.219
12.24
0.056
0.705
0.783
11.15
0.031
0.408
0.458
12.48
4288.310
0.084
1.062
1.167
11.72
0.060
0.751
0.831
11.80
0.030
0-393
0.443
12.07
4290.377
0.093
1.174
1.279
12.84
0.046
0.685
0.765
10.86
0.031
0.408
0.458
12.48
4290.542
0.096
1. 211
1.316
13.21
0.048
0.730
0.810
11.50
0.037
0.483
0-533
14-53
4291.630
0.091
I.I48
1-253
12.58
0.059
0-743
0.823
11.69
0.033
0-433
0.483
13.16
4294.936
0.093
I-I73
1.278
12.83
0.058
0-733
0.813
"•54
0.036
0.470
0.520
14.17
28 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS or 1906-1907 — -Continued.
Plate <«> 30. 1906, Oct. 19, nh iom G. M. T. Measured by A. on G. Distance from Limb 3.6 mm. Quality, good.
P-f
7T
t>
T\
sec')
0
a
205.6
O
14.9
I5'.8
74.2
2O.4
1.067
o-o
I3I.2
29.9
3°-3
59-7
10.8
1.018
p -26.2
44-9
45-2
44.8
7-7
1.009
D
5-4
59-9
60.0
30.0
6-3
1. 006
Diameter
171.9 mm
74-9
75-°
15.0
S.6
1. 005
Factor
1.044
89.9
89.9
O.I
5-4
1.005
<t> =
0°I
*-
is!o
0 =
3°!°
A
H
11 + 1!l
«
A
V
11+ Dj
f
A
D
»+ »!
£
km
km
0
km
km
0
km
km
0
4196.699
0.148
1.967
2.106
14.95
0.136
1. 808
1-947
14-31
0.114
.516
1.642
13.46
4I97-257
0.148
1.966
2.105
14.94
0.136
1.807
1.946
14.30
O.I I 2
-489
1.615
13-24
4203.730
0.148
1.962
2.IOI
14.92
0.138
1.830
1.969
14.47
0.116
•540
1.666
13.66
4209.144
0.148
1.958
2.097
14.89
0.136
1-799
1.938
14.24
0.116
•537
1.663
13-63
4216.136
0.146
1.926
2.065
14.66
0-135
1.781
1.920
14.11
0.113
.492
1.618
13.26
4220.509
0.148
J-949
2.088
14.82
0.138
1.817
1.956
14-38
0.118
•555
1.681
13-78
4232.887
0.150
1.966
2.105
14.94
0.137
.796
1-935
14.22
0.118
•548
1.674
13-72
4257-8I5
0.150
1.946
2.085
14.80
0-139
.803
1.942
14.27
0.120
•558
1.684
13.80
4258.477
0.149
1-933
2.072
14.71
0.138
•790
1.929
14.18
O.II9
1-545
i. 66 1
13.62
4265.418
0.150
1.941
2.o8o
14-77
0.138
.786
1.925
14-15
O.II8
1.528
1.654
13-56
4266.081
0.150
1.941
2.080
14-77
0.138
.786
1-925
14-15
O.IlS
1.528
1.654
13-56
4268.915
0.152
1.964
2.103
14-93
0.140
.809
1.948
14.32
O.IlS
-526
1.652
13-54
4276.836
0.148
1.905
2.044
14-51
0.138
• 777
1.916
14.08
0.116
.496
1.622
13-30
4284.838
0.150
I-925
2.064
14.65
0.139
•785
1.924
14.14
0.118
.516
1.642
13.46
4287.566
0.152
1.949
2.088
14.82
0.139
.782
1.921
14.12
0.117
.502
1.628
13-35
4288.310
0.150
I-923
2.O62
14.64
0.138
.769
1.908
14.02
0.118
•514
1.640
13-44
4290.377
0.148
1.896
2-035
14-45
0.140
•793
1.932
14.20
0.116
.487
1.613
13.22
4290.542
0.148
1.896
2-035
14-45
0.139
.780
1.919
14.10
0.118
•513
1.639
13-44
4291.630
0.149
1.907
2.046
14-52
0.140
•793
1.932
14.20
0.118
•512
1.638
13.43
4294.936
0.148
1.892
2.031
14.42
0.144
.841
1.980
14-55
0.118
.510
1.636
13-41
<t> =
44!»
<t> =
S9?7
4, =
74?2
4196.699
0.090
.201
1.308
13.08
0-057
0.767
0.847
11.92
O.O22
0.311
0.358
9-33
4I97-2S7
0.090
.2OI
1.308
13.08
0.054
0.713
0-793
ii. 16
0.026
0.372
0.419
10.93
4203.730
0.093
.238
1-345
13-45
0.056
0.752
0.832
11.71
0.028
0.400
0.447
11.66
4209.144
0.092
.222
1.329
13.29
0.058
0.777
0.857
12.06
0.023
0-321
0.368
9.60
4216.136
0.089
.179
.286
12.86
0.056
0.750
0.830
11.68
0.024
0.342
0.389
10.14
4220.509
0.092
.217
•324
13.24
0.058
0-774
0.854
12.02
0.026
0-357
0.404
11.32
4232.887
0.091
.198
•305
13-05
0.058
0.770
0.850
11-97
O.O26
0.364
0.411
10.72
4257-815
0.090
-173
.280
12.80
0.060
0.789
0.869
12.23
O.O28
0.391
0.438
11.42
4258.477
0.092
.199
-306
13.06
0.059
0.776
0.856
12.05
0.028
0.385
0.432
11.26
4265.418
0.094
.221
-328
13.28
0.060
0.787
0.867
12.20
0.028
0.387
0-434
11.32
4266.081
0.096
1.247
•354
13-54
0.060
0.787
0.867
12. 2O
0.028
0.389
0.436
n-37
4268.915
0.096
1-245
-352
13-52
0.059
0-773
0-853
12. OI
O.O26
0-354
0.401
10.46
4276.836
0.093
1.203
.310
13.10
0.058
0.756
0.836
11.77
O.O27
o.374
0.421
10.98
4284-838
0.096
1.238
•345
13-45
0.058
0-754
0.834
11-74
0.026
0.348
0-395
10.30
4287.566
0.095
1.223
•330
13-30
0.058
0-753
0.833
"•73
0.030
0.403
0.450
n-73
4288.310
0.094
1. 211
-318
13.18
0.059
0.766
0.846
n. 91
O.O26
0.348
0-395
10.30
4290-377
0.096
1-235
•342
13-42
0.058
0.752
0.832
11.71
O.O27
0.362
0.409
10.66
4290.542
0.097
1.247
•354
13-54
0.058
0.752
0.832
11.71
0.030
0.413
0.460
11.99
4291.630
0.096
1-235
-342
13-42
0.058
0-752
0.832
11.71
O.O28
0.386
0-433
11.29
4294.936
0.097
1-245
•352
13-52
0.060
0.777
0.857
12.06
O.O27
0.364
0.411
10.72
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
TABLE 4. — RESULTS FOR_!NDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Platew3i. 1906, Oct. 19, i2h iom G. M. T. Measured by A. on G. Distance from Limb 3.6 mm. Quality, good.
P-P
seci
0
205
7
14.9
15.8
74.2
20.4
1.067
G-!2
131
3
29.9
3°-3
59-7
10.8
1.018
P -26.2
44-9
45-2
44.8
7-7
1.009
D
5
4
59-9
60.0
30.0
6.3
i. 006
Diameter
171
9 mm
74-9
7S-0
15.0
S-6
1.005
Factor
i
.044
89.9
89.9
O.I
S-4
1.005
0 =
O°I
0 =
15!°
0 =
3°!°
A
V
» + «,
{
A
s
» + r,
1
A
D
t) + Dj
•
km
km
0
km
km
0
km
km
.
4196.699
0.148
1.967
2.106
14-95
0.138
.834
1.972
14.49
O.I l6
•544
.670
13.69
4I97-257
0.147
1-954
2.093
14.86
0.138
-834
1.972
14.49
0.118
•569
.695
13.90
4203.730
0.149
1.976
2.115
15.02
0.140
-856
1.994
14.66
0.119
.580
.706
13.98
4209.144
0.150
1.985
2.124
15.08
0.140
.852
1.990
14.63
O.I 2O
.589
•715
14.06
4216.136
0.147
1.940
2.079
14.76
0.138
.820
1.958
14-39
0.118
•559
•685
13.81
4220.509
0.150
1.976
2.115
15.02
0.140
•844
1.982
14-57
0.118
-556
.682
13-79
4232.887
0.149
1-954
2.093
14.86
0.140
.835
1-973
14.50
O.I 2O
•574
.700
13-94
4257.8IS
0.150
1.946
2.085
14.80
0.143
.855
t-993
14-65
O.I 2O
•559
-685
13.81
4258.47?
0.150
1.946
2-085
14.80
0.140
.816
1-954
14-36
O.I 2O
•559
•685
13.81
4265.418
0.150
1.941
2.080
14-77
0.142
.837
1-975
14-52
0.120
•555
.681
I3-78
4266.081
0.150
1.941
2.080
14.77
0.141
.824
1.962
14.42
O.I 21
-567
.693
13.88
4268.915
0.150
1.938
2.077
14.74
0.141
.821
1-959
14.40
O.I 2O
•552
.678
13-76
4276.836
0.151
1-945
2.084
14.80
0.141
.816
1-954
14-36
0.120
•547
-673
13-71
4284.838
0.151
1.938
2.077
14.74
0.142
.822
1.960
14.41
O.IlS
.516
.642
13.46
4287.566
0.150
1.924
2.063
14-65
0.140
.796
1-934
14.21
O.IlS
•515
.641
13-45
4288.310
0.148
1.898
2.037
14.46
0.142
.820
1.958
14-39
O.I 2O
•540
.666
13.66
4290.377
0.148
1.896
2-°3S
14.45
0.140
•793
I-93I
14.19
O.II9
.526
.652
'3-54
4290.542
0.149
1.908
2.047
14.53
0.141
.807
1-945
14-30
0. 122
•565
.691
13.86
4291.630
0.150
1.921
2.060
14.62
0.140
•793
I-93I
14.19
O.I 2O
•539
-665
13-65
4294.936
0.150
1.918
2.057
14.60
0.140
.790
1.928
14.17
0.120
-536
.662
13.62
0 =
44?8
<*> =
S9t7
0 =
74?2
4196.699
0.090
I.2OI
1.308
13-08
0.058
0.781
0.86 1
12.12
O.027
0.381
0.428
ii. 16
4I97-257
0.088
I-I73
1.280
1 2.80
0.060
0.808
0.888
12.50
0.030
0.423
0.470
12.25
4203.730
0.090
1.198
•305
13.05
0.060
0.806
0.886
12-47
0.030
0.422
0.469
12.23
4209.144
0.089
I.I82
.289
12.89
0.060
0.806
0.886
12-47
0.034
0-477
0-524
13-66
4216.136
0.089
I.I79
.286
12.86
0.059
0.789
0.869
12.23
O.O28
0.392
0-439
n-45
4220.509
0.090
I.I90
•297
12.97
0.058
0-774
0.854
I 2. 02
0.031
0-433
0.480
12.52
4232.887
0.088
I-I59
.266
12.66
0.061
0.810
0.800
12.52
0.028
0.390
0-437
n-39
4257-815
0.091
1.185
.292
12.92
0.06 1
0.802
0.882
12.41
0-033
0.454
0.501
13.06
4258-47?
0.090
I.I72
•279
12.79
0.062
0.815
0.895
12-59
0.030
0.413
0.460
11.99
4265.418
0.088
I-I43
.250
12.50
0.060
0.787
0.867
12. 2O
0.028
0.384
0-431
11.24
4266.081
o.ooo
1.169
.276
12.76
0.059
0-773
0-853
I2.OO
0.030
0.412
0-459
11.97
4268.915
0.091
1.181
.288
12.88
0.060
0.786
0.866
12.19
0.030
0.411
0.458
11.94
4276.836
o.ooo
1.164
.271
12.71
0.060
0.784
0.864
12.16
0.026
0-356
0.403
10.51
4284.838
0.089
1.147
•254
12.54
0.060
0.781
0.86 1
12.12
0.030
0.409
0.456
11.89
4287.566
0.090
I.I59
.266
12.66
0.060
0.781
0.861
12.12
O.O27
0.367
0.414
10.79
4288.310
0.090
I-I59
.266
12.66
0.060
0.780
0.860
12. IO
0.030
0.409
0.456
11.89
4290.377
0.088
1.131
-238
12.38
0.060
0.780
0.860
12. IO
0.028
0.381
0.428
ii. 16
4290.542
0.089
I-I45
-252
12.52
0.059
0.765
0.845
11.89
0.030
0.408
0-455
11.86
4291.630
0.089
1.144
•251
12.51
0.059
0.765
0.845
11.89
O.O28
0.381
0.428
ii. 16
4294.936
0.090
I-I55
.262
12.62
o.ooo
0.778
0.858
12.07
0.027
0.366
0-413
10.77
The results for Plate w 35 are given on page 34.
30 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOP1C METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Platew36. 1906, Nov. ii, ioh I5m G. M. T. Measured by A. on G. Distance from Limb 2.2 mm. Quality, good.
P-P
secy
Q
228.6
iS-5
15-8
74-2
12.6
I.O2I
0-0
154-2
3°-S
3°-7
59-3
6.2
1. 006
P -22.6
45-5
45-4
44.6
4.6
1.003
D
3-i
60.5
60.6
29.4
3.6
I.OO2
Diameter
171.6 mm
75-5
75-5
14-5
3-2
1.002
Factor
1.027
9°-5
90.5
-0-5
3.1
1.002
0 =
-o?5
0 =
Ml*
0 =
*0°A
_
A
V
. + ,,
i.
A
V
V + Dj
1
A
V
H-,,
1
km
km
0
km
km
.
km
km
a
4196.699
0.148
1.929
2.670
14.70
0.143
1.865
2.005
14.70
0.119
•552
1.682
13.69
4197-257
0.150
1-955
2.096
14.88
0-143
1.864
2.004
14.69
0.119
•551
1.681
13.69
4203.730
0.151
•963
2.104
14.94
0.141
1.834
1.974
14-47
O.I 2O
.560
1.690
13-76
4209.144
0.152
•973
2.114
15.01
0-145
I.88I
2.O2I
14.81
O.I22
.583
1-713
13-95
4216.136
0.151
•954
2-095
14.87
0.144
1.864
2.004
14.69
0.120
•553
1-683
13.70
4220.509
0.151
•951
2.092
14-85
0-145
1-873
2.OI3
14-75
O.I2I
-563
1-693
13-78
4232.887
0.151
.942
2.083
14.79
O.I4S
1.865
2.005
14.70
O.I 22
•568
1.698
13.82
42S7.8I5
0.151
.921
2.062
14.64
0.145
1.845
1.985
14-55
0.123
-565
1.695
13.80
4258.477
0.153
•947
2.088
14.82
0.145
I.845
1.985
14-55
O.I2I
•539
1.669
13-59
4265.418
0.152
.928
2.069
14.69
0.144
1.828
1.968
14.42
O.I22
•548
1.678
13-66
4266.081
0.152
.928
2.069
14.69
0.145
1.840
1.980
14-51
O.I 2O
•523
1-653
13.46
4268.915
0.152
.926
2.067
14.67
0.144
1.825
1.965
14.40
O.I2I
•533
1.663
13-54
4276.836
0.151
.908
2.049
14-55
0.146
1.844
1.984
14-54
O.I2I
-528
1.658
13-5°
4284.838
0.152
.914
2.055
14-59
0.145
1.826
1.966
14.41
O.I 2O
-5"
1.641
13-36
4287.566
0.151
.900
2.041
14.49
0.143
1-799
1-939
14.21
O.I2I
.522
1.652
13-45
4288.310
0.151
.899
2.040
14.48
0.144
1.811
I-95I
14.30
O.I2I
.522
1.652
13-45
4290.377
0.152
.910
2.051
14.56
0-145
1.821
1.961
14-37
O.I 20
.508
1.638
13-34
4290.542
0.151
1.898
2.039
14.48
0-145
1.821
1.961
14-37
O.I2I
1.520
1.650
1.3-43
4291-630
0.150
1.884
2.025
14.38
0.145
1.821
1.961
14-37
0.122
1-532
1.662
13-53
4294-936
0.150
i. 88 1
2.022
14-36
0.145
1.819
J-959
14.36
0.122
1.529
1.659
13-51
0 =
4*
0 =
s*-
0 =
^
4196.699
0.089
1.162
•273
12.69
0.057
0.746
0.831
11.56
O.O28
0.372
0.425
11.08
4197-257
0.089
1.161
.272
12.68
0.058
0-758
0.843
11.72
0.030
0.398
0.451
11.76
4203.730
0.090
1.171
.282
12.78
0.058
0-757
0.842
11.71
0.030
0.380
0-433
11.29
4209.144
0.089
I-I55
.266
12.62
0.060
0.782
0.867
12. 06
0.030
0.396
0-449
11.71
4216.136
0.089
1.152
.263
12.59
0.057
0.741
0.826
11.49
O.O29
0.382
0-435
"•34
4220.509
0.089
.150
.261
12-57
0.060
0.778
0.863
I2.OO
0.030
0-395
0.448
11.68
4232.887
0.089
•145
.256
12.52
0.059
0.761
0.846
11.76
0.031
0.406
0-459
11.97
4257-815
0.090
.146
•257
12-53
0.062
0.792
0.877
12. 2O
0.032
0.415
0.468
12.17
4258.477
0.090
.146
•257
12.53
0.06 1
0.779
0.864
12. OI
0.031
0.401
0-454
11.84
4265.418
0.089
.130
.241
12.37
0.060
0.764
0.869
I 2. 08
0.033
0.427
0.480
12.52
4266.081
0.090
•143
•254
12.50
0.060
0.764
0.849
II.8I
0.032
0.413
0.466
12.15
4268.915
0.089
.129
.240
12.36
0.059
0.750
0.835
ii. 61
0.032
0.413
0.466
12.15
4276.836
0.091
•151
.262
12.58
0.062
0.786
0.871
12. II
O.O29
0-373
0.426
ii. ii
4284.838
0.090
•'34
•245
12.41
0.060
0.758
0.833
11.58
0.031
0-397
0.450
"•73
4287.566
0.090
•133
•244
12.40
0.06 1
0.770
0.855
11.89
0.029
0-371
0.424
1 1. 06
4288.310
0.089
1. 121
•232
12.28
0.061
0.769
0.854
11.88
0.032
0.410
0.463
12.07
4290.377
0.090
I.I32
•243
12.39
0.059
0.744
0.829
"•S3
0.031
0.396
0-449
11.71
4290.542
0.090
I.I32
•243
12.39
0.060
0-757
0.842
11.71
0.030
0.383
0.436
n-37
4291.630
0.088
1.106
.217
12.13
0.062
0.782
0.867
12.06
0.032
0.409
0.462
12.05
4294-936
0.09 1
1.142
-253
12.49
0.060
0-755
0.840
11.68
0-033
0.422
0-475
12.39
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
TABLE 4. — RESULTS JOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate w 37. 1906, Nov. n, ioh 40™ G. M. T. Measured by A. on G. Distance from Limb 2.2mm. Quality, good.
f-P
sec 11
0
228.6
iS-7
16.0
74.0
"•5
I.O2I
Q-a
IS4-2
3°-7
30.8
59-2
6.2
I. OO6
P -22.6
45-7
45.8
44.2
4-4
1.003
D
3-i
60.7
60.7
29-3
3-6
I.OO2
Diameter
171.6 mm
75-7
7S-7
14-3
3-2
I.OO2
Factor
1.027
90.7
90.7
-0.7
3-1
1.002
<t> = - °!?
0 = I4!s
<t> = 29°3
X
A
t)
» + »,
i.
A
V
»+»!
£
A
V
• •ft,
{
km
km
o
km
km
0
km
km
»
4196.699
0.150
1.960
2.IOI
14.92
0-143
1.867
2.007
14.71
O.I 2O
•569
1.699
13.84
4I97-2S7
0.149
1.942
2.083
14-79
0.142
1.850
1.990
14-59
O.I2I
•574
1.704
13.88
4203.730
0.149
•943
2.084
14.80
0.142
1.849
1.929
14.58
[0.122
.581
1.711
13-94
4209.144
0.15-'
.968
2.II9
15-04
0.142
1-843
1-973
14.46
O.I22
-578
1.708
13.92
4216.136
0.150
•936
2.077
14-75
0.142
1-833
1-973
14.46
O.I22
•584
1.714
13-97
4220.509
0.151
•953
2.094
14.87
0.142
I-835
1-975
14.48
0. 122
•571
1.701
13.86
4232.887
°-i54
.980
2. 121
15.06
0.143
1.839
1.979
14.51
0.122
•571
1.701
13.86
4257.815
0.152
•934
2.075
14-73
0-143
1.814
1-954
14.32
O.I22
•552
1.682
13-71
4258.477
0.152
•930
2.071
14.70
0.143
1.817
1-957
14.34
O.I22
-557
1.687
13-75
4265.418
0.150
.908
2.049
14-55
0.143
1.812
1-952
14.3!
0.122
.548
1.678
13-67
4266.081
0.153
•937
2.078
14-75
0.143
1.812
1-952
14.31
O.I 22
-548
1.678
13.67
4268.915
0.153
.942
2.083
14-79
0.143
1.815
1-955
14-33
O.I 22
.546
1.676
13.66
4276.836
0.152
.926
2.067
14.67
0.143
1. 806
1.946
14.26
0.123
•554
1.684
13-72
4284.838
0.152
•909
2.O5O
14-55
0.144
1.810
1.950
14.29
0.123
•556
1.686
13-74
4287.566
0-153
•930
2.071
14.70
0.143
t-799
1-939
14.21
0.123
-543
1-673
13-63
4288.310
0.152
.916
2.057
14.60
0.143
1.798
1.938
14.20
0.123
-545
I.675
13-65
4290.377
0.151
•903
2.044
14-51
0.143
1.799
1-939
14.21
0.123
•543
1-673
13-63
4290.542
0.152
•915
2.056
14.60
0.143
1-795
1-935
14.18
0.123
• 546
1.676
13.66
4291.630
0.151
.897
2.038
14-47
0.142
1.778
1.918
14.06
0.123
•548
1.678
13.67
4294.936
0.152
.901
2.O42
14.50
0.142
1.780
1.920
14.07
0.122
•534
1.664
13-56
<t> = 44? 2
<t> = S9t2
<t> = 74!°
4196.699
0.090
1.174
.285
12.72
0.062
0.806
0.891
12-35
0.030
0.404
0-457
11.77
4I97-257
0.089
1.166
.277
12.65
0.06 1
0.796
0.88 1
12.21
0.030
0-393
0.446
11.49
4203.730
0.089
1.166
•277
12.65
0.062
0.814
0.899
12.46
0.031
0.411
0.464
"•95
4209.144
0.091
1.179
.290
12.77
0.062
0.803
0.888
12.31
0.032
0.426
0.479
12.34
4216.136
0.090
1.171
.282
12.70
0.061
0.793
0.878
I2.I?
0.031
0.414
0.467
12.03
4220.509
0.091
1.174
.285
12.73
0.062
0.804
0.889
12.32
0.030
0-395
0.448
"•54
4232.887
0.092
1.190
.301
12.89
0.062
0.806
0.891
12-35
0.032
0.420
0-473
12.18
4257-8I5
0.092
1.169
.280
12.68
0.063
0.805
0.890
12-34
O.O32
0.421
0.474
12.21
4258-477
0.088
1.126
•237
12.25
0.064
0.822
0-907
12.57
0.032
0.415
0.468
12.05
4265.418
0.091
1.158
.269
12.57
0.062
0-795
0.880
12. 2O
0.033
0.422
0-475
12.23
4266.081
0.090
1.148
-259
12.47
0.061
0.775
0.860
11.92
O.O3 I
0.404
0-457
11.77
4268.915
0.091
I-I57
.268
12.56
0.06 1
0.776
0.86 1
"•93
0.032
0.409
0.462
11.90
4276.836
0.090
I-I33
•244
12.32
0.062
0.781
0.866
12. OO
0.030
o-39i
0-444
11.44
4284.838
0.093
1.174
-285
12.72
0.062
0.779
0.864
11.97
0.032
0.406
0.459
11.82
4287.566
0.090
1.128
-239
12.27
0.062
0.786
0.871
I2.O7
0.032
0-415
0.468
12.05
4288.310
0.090
1.138
•249
12.37
0.062
0.786
0.871
I2.O7
0.031
0-394
0.447
11.51
' 4290-377
0.089
1.117
.228
12. l6
0.062
0.777
0.862
"•PS
0.032
0.405
0.458
II.80
4290.542
0.090
I-I37
.248
12.36
0.063
0.789
0.874
12. II
0.031
0.400
0-453
11.67
4291.630
0.091
1.149
.260
12.48
0.062
0.782
0.867
I 2. 02
0.032
0.405
0.458
11.80
4294.936
0.091
1.144
-255
12.43
0.062
0.780 0.865
11.99
0.032
0.411
0.464
"•95
32 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate w 38. 1906, Nov. n, nh om G. M. T. Measured by L. on T. Distance from Limb 2.2 ram. Quality, good.
P-P
O 228.6
G-n 154.2
P -22.6
D 3-1
Diameter 171.6 mm
Factor 1.027
15-7
16.0
74.0
ii-S
i. 02 1
30.7
30.8
59- 2
6.2
i. 006
45.7
45-8
44.2
4-4
1.003
60.7
60.7
29-3
3-6
i. 002
75.7
7S-7
14-3
3-2
i. 002
90.7
90.7
-0.7
3-i
i. 002
*-
-«*
,-
.4t3
0 =
29.3
A
t)
. + ,,
1
A
V
, + ,,
•
A
V
V ~\~ V.
*
4196.699
0.148
km
1.926
km
2.067
14.68
0.138
km
.798
km
1.938
14.20
0.116
km
1.511
km
1.641
13-36
4197-257
0.148
.926
2.067
14.68
0.142
.848
1.988
14.56
0.118
1.536
1.666
13-56
4203.730
0.152
•974
2.II5
I5.O2
0-145
.883
2.023
14.82
O.I 22
1.586
1.716
13-97
4209.144
0.151
•957
2.098
14.90
0.142
.840
.980
14-50
O.I24
1.558
1.688
13-74
4216.136
0.148
.914
2.055
14.59
0.137
.771
.911
14.00
0.118
1.526
1.656
13.48
4220.509
0.153
•974
2.II5
I5.O2
0.145
.868
.008
14.71
O.I24
1.601
I-73I
14.09
4232.887
0.150
.928
2.069
14.69
0.140
.801
.941
14.22
O.I 2O
1-542
1.672
13.61
4257.815
0.156
.986
2.127
15.10
0.146
.822
.962
14-37
0.126
i. 608
1.738
14-15
4258.477
0.148
.884
2.025
I4.38
0.142
.804
•944
14.24
O.I2I
i.54o
1.670
13.60
4265.418
0.152
.928
2.069
14.69
0.144
.826
.966
14.40
O.I22
1.548
1.678
13.66
4266.081
0.156
.978
2.II9
15.04
0.148
.874
.014
14.76
O.I24
1.568
1.698
13-82
4268.915
0.150
.901
2.042
14.50
0.142
•797
•937
14.19
O.II9
1.508
1.638
13-33
4276.836
0.156
.970
2. Ill
14.99
0.143
.807
•947
14.26
O.I2I
1-529
1.659
i3-5i
4284-838
0.153
•930
2.071
14.70
0.142
.790
•930
14.40
O.I 2O
1-513
1-643
13-38
4287.566
0.155
•950
2.091
14.85
0.145
.828
.968
14.42
0.122
1-537
1.667
13-57
4288.310
0.154
.940
2.081
14.78
0.147
.848
.988
14-56
0.124
1.561
1.691
13-77
4290-377
0.156
•963
2.IO4
14.94
0.140
.762
.902
13-94
0.123
1-547
1.677
13-65
4290.542
0.151
.899
2.040
14.48
0.144
.812
•952
14.3°
O.I 2O
1.511
1.641
13-36
4291.630
0.154
•935
2.076
14-74
0.140
1.762
.902
13-94
0.124
1-559
1.689
13-75
4294-936
0.155
•947
2.088
14.82
0.146
1.832
.972
14-45
0.123
1-544
1.674
13-63
0 =
44! 2
0 =
»*
0 =
74!o
4196.699
0.088
1.149
.260
12.48
0.059
0.772
0.857
11.88
O.O29
0.382
0-435
11.20
4197-257
0.091
1.185
.296
12.83
0.060
0.782
0.867
12.02
0.030
0-393
0.446
11.49
4203.730
0.092
1.198
•309
12.96
0.066
0.855
0.940
I3.03
0.036
0.463
0.516
13.29
4209.144
0.094
1. 221
•332
I3.I9
0.062
0.805
0.890
12.34
0.034
0-445
0.498
12.83
4216.136
0.088
I.I4O
•251
12.39
0.060
0.780
0.865
11.99
0.031
0.403
0.456
"•75
4220.509
0.093
1.192
•303
I2.9O
0.062
0.804
0.889
12.34
0.036
0.461
0.5H
13-24
4232.887
0.091
1.164
•275
12.63
0.064
0.823
0.908
12.59
0.035
0-457
0.510
13.14
4257-815
0.093
1.178
.289
12.77
0.066
0.844
0.929
12.88
0.035
0.454
0.507
13.06
4258.477
0.092
I.I68
•279
12.67
0.066
0.839
0.924
12.81
0.034
0.438
0.491
12.65
4265.418
0.093
1.176
.287
12.74
0.063
0.798
0.883
12.24
0-033
0.428
0.481
12.39
4266.081
0.092
1.166
•277
12.65
0.065
0.827
0.912
12.64
0.032
0.413
0.466
12.00
4268.915
0.091
I-I54
.26S
12-53
0.062
0.787
0.872
12.08
0.036
0.463
0.516
13.29
4276.836
0.093
J-I73
.284
12.71
0.063
0.796
0.881
12.21
0.032
0.411
0.464
H-95
4284.838
0.092
1.161
.272
I 2.60
0.063
0.794
0.879
12. l8
0.034
0.436
0.489
12.60
4287.566
0.094
1.181
.292
12.79
0.065
0.823
0.908
12-59
0.032
0.410
0.463
n-93
4288.310
0.094
1.181
.292
12.79
0.065
0.819
0.904
12-53
0.038
0.483
0.536
13.82
4290.377
0.093
1.170
.281
12.69
0.064
0.808
0.893
12.38
0.034
0.436
0.489
12.60
4290.542
0.093
1.170
I.28l
12.69
0.063
0.794
0.879
12.18
0.031
0-395
0.448
11-54
4291.630
0.092
I.I59
1.270
12.58
0.062
0.783
0.868
12.03
0-035
0-443
0.496
12.78
4294-936
0.093
1.168
1.279
12.67
0.070
0.880
0.965
13-38
0.033
0.420
0-473
12.18
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
33
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate w 39. 1906, Nov. n, nh i$m G. M. T. Measured by L. on T. Distance from Limb 2.2 mm. Quality, good.
Q 228.7
0-n 154-3
P -22.6
D 3.1
Diameter 171.6 mm
Factor 1.027
p-p
7T
<t>
•n
secf
o
0
o
o
15-7
16.0
74-o
n.6
I.O2I
30.7
30.8
59-2
6.1
i. 006
45-7
45-8
44-2
4-4
1.003
60.7
60.7
29-3
3-6
i. 002
75-7
75-7
14-3
3-2
1.002
90.7
90.7
-0.7
3-1
1.002
0 =
-o!7
0 =
I4!3
<#> =
2^3
A
»
» + »!
1
A
»
r + Dj
1
A
V
H + Hj
£
km
km
o
km
km
0
km
km
o
4196.699
0.150
1.950
2.091
14.85
0.135
1-758
1.898
13-91
0.118
I-536
1.666
13-56
4197.257
0.150
1.950
2.091
14.85
0.137
.782
1.922
14.08
0.119
I.548
1.678
13-66
4203.730
0.152
-977
2.118
15-04
0.141
.828
1.968
14.42
O.I 20
1.560
1.690
13-76
4209.144
0.151
•957
2.098
14.90
0-143
.847
1.987
14.56
0.122
1-584
1.714
13-95
4216.136
0.147
•903
2.044
14-51
0.142
-837
1-977
14.48
O.IlS
1.526
1.656
13.48
4220.509
0-154
.988
2.129
15.12
0.144
•853
1-993
14.60
O.I25
1.616
1.746
14.21
4232.887
0-153
.964
2.105
14.94
0.143
-837
1-977
14.48
0.122
1-567
1.697
13.82
4257-8I5
0.151
•924
2.065
14.66
0.144
•834
1-974
14.46
0.126
1.605
1-735
14.12
4258.477
0.153
•947
2.088
14.82
0.142
.818
1.958
14-34
O.I22
1-554
1.684
13-71
4265.418
0.152
•931
2.072
14.71
0.146
-844
1.984
14-35
O.I2I
1-537
1.667
13-57
4266.081
0.156
.978
2.119
15-04
0.144
.819
1-959
14-35
0.126
1.598
1.728
14.07
4268.915
0.156
•977
2.118
15-04
0.144
.820
1.960
14-36
O.I22
1.548
1.678
13.66
4276.836
0.152
.919
2.060
14-63
0-143
•799
1-939
14.21
0.123
1-555
1.685
13.72
4284.838
0.153
.926
2.067
14.68
0.146
-835
1-975
14-47
0.124
1-563
1.693
13-78
4287.566
0.156
.964
2.105
14.94
0.145
.825
1.965
14.40
0.123
1-549
1.679
13.69
4288.310
0-154
•937
2.078
14-75
0.144
.820
1.960
14-36
O.I2I
1.522
1.652
13-45
4200.377
0-153
•923
2.064
14-65
0.144
.819
1-959
14-35
O.I2I
1.521
1.651
13-44
4290.542
0.152
•913
2.054
14.58
0.148
-859
1-999
14-65
O.I24
1.561
1.691
13.77
4291.630
0.155
•947
2.088
14.82
0.144
.818
1.958
14.35
O.I2I
1.521
1.651
13.44
4294.936
0-154
•932
2.073
14.72
0.145
.819
1-959
14.35
0.123
1.546
1.676
13.64
<t> =
44!*
0 =
59!*
* =
74?°
4196.699
0.088
.170
.281
12.68
0.059
0.772
0.857
11.88
0.030
0.398
0-451
11.52
4197-257
0.088
.170
.281
12.68
0.060
0.792
0.877
12. 16
0.029
0.387
0.440
"•33
4203.730
0.092
•195
.306
"•93
0.063
0.821
0.906
12.56
0.034
0.448
0.501
12.90
4209.144
0.095
.231
-342
13-39
0.064
0.831
0.916
12.70
0.034
0.446
0.499
12.85
4216.136
0.089
•153
.264
12.51
0.061
0.790
0.875
12.13
0.030
0.400
0-453
11.67
4220.509
0.093
.196
0.307
12.94
0.064
0.829
0.914
12.67
0.033
0.436
0.489
12.60
4232.887
0.092
.178
.289
12.76
0.063
0.812
0.897
12-43
0.036
0.470
0.523
13-47
4257.815
0.094
.192
•303
12.90
0.066
0.839
0.924
12.81
0.038
0-453
0.506
13-03
4258.477
0.093
.182
•293
12.80
0.064
0.8 1 8
0.903
12.52
0.033
0.427
0.480
12.36
4265.418
0.093
.180
.291
12.78
0.064
0.817
0.902
12.50
0.033
0.427
0.480
12.36
4266.081
0.093
.180
.291
12.78
0.066
0.838
0.923
12.80
0-035
0.452
0.505
13.01
4268.915
0.092
.168
•279
12.67
0.064
0.812
0.897
12-43
0-033
0.426
0.479
12.34
4276.836
0.094
.187
.298
12.85
0.063
0.798
0.883
12.24
0.036
0.461
0.514
13-24
4284.838
0.094
.185
.296
12.83
0.063
0.796
0.881
12.21
0.034
0.436
0.489
12.60
4287.566
0.093
•174
.285
12.72
0.065
0.820
0.905
12.54
0.036
0.460
0.513
13.21
4288.310
0.092
.160
.271
12.58
0.064
0.809
0.894
12.39
0.036
0.460
0-513
13.21
4290.377
0.091
• 144
•255
12.43
0.064
0.809
0.894
12.39
0.032
0.410
0.463
"•93
4290.542
0.093
.170
.281
12.69
0.063
0-795
0.880
12.20
0.032
0.410
0.463
"•93
4291.630
0.094
• 183
•294
12.81
0.066
0.829
0.914
12.67
0.035
0.446
0.499
12.85
4294.936
0.097
.218
•329
13.16
0.064
0.804
0.889
12.32
0.035
0.446
0.499
12.85
34 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate w 35. 1906, Nov. n, ioh om G. M. T. Measured by L. onT\ Distance from Limb 2.2 mm. Quality, good.
O 228.6
9-n 154-2
P -22.6
p-p
15.5
90-5
7T 0
15.8 74.2
90.5 -0.5
12.6
3-'
sec i)
I.02I
i. 002
D 3.1
Diameter 171.6 mm
Factor 1.027
x
<t> =
-o's
<t> —
74!*
A
V
«> + »!
s
A
V
i + t,
I
km
km
o
km
km
.
4196.699
0.148
•925
2.066
14.67
0.029
0.386
0-439
11-45
4197-257
0.150
•950
2.091
14.85
0.030
0.397
0.450
n-73
4203.730
O.IS3
.987
2.128
15.11
0-033
0.436
0.489
12.75
4209.144
0.154
•995
2.136
15.16
0.035
0.462
0-515
13-43
4216.136
0.149
.876
2.017
14-32
0.030
0-395
0.448
11.68
4220.509
0.153
•974
2.II5
15.02
0.032
0.420
0-473
12.33
4232-887
0.153
.967
2.108
14.97
0-033
0.430
0.483
12.60
4257.815
0-155
•973
2.114
15.01
0.034
0-437
0.490
12.78
4258.477
0.151
•923
2.064
14.65
0.035
0.452
0-505
13-17
4265.418
0.152
1.927
2.068
14.68
0.034
0.436
0.489
12.75
4266.081
0.153
1.940
2.081
14-78
0-034
0.436
0.489
12.75
4268.915
0.152
1-925
2.066
14.67
0.034
0.436
0.489
12.75
4276.836
0.152
.922
2.063
14.65
0.034
0.436
0.489
12.75
4284.838
0.154
•943
2.084
14-79
0.033
0.425
0.478
12.46
4287.566
0.153
•925
2.066
14.67
0.034
0-435
0.488
12-73
4288.310
0.154
•938
2.079
14.76
0.034
0-435
0.488
12.73
4290.377
0.150
.888
2.029
14.41
0.034
0-435
0.488
12.73
4290.542
0-153
•923
2.064
14.65
0.035
0-445
0.498
12.99
4291.630
0-153
.922
2.063
14.65
0.033
0.421
0.474
12.36
4294.936
0-154
•931
2.072
14.71
0.033
0.420
0-473
12-33
Plate u 39J. 1906, Dec. 18, 5h 50™ G. M. T. Measured by L. on T. Distance from Limb 4. i mm. Quality, good.
O 265.9
G-n 191.5
P -8.8
P-P
59-9
74-9
89.9
59-9
74-9
89.9
30.1
1.4
secv
i.ooo
i.ooo
i.ooo
D -1.5
Diameter 175.2 mm
Factor 1.049
X
0 =
o!i
<t> =
IS?I
<t> =
30?i
A
V
»+»!
{
A
V
JI+Dj
i
A
V
» + »,
£
km
km
O
km
km
.
km
km
0
4196.699
0.148
1.963
2.104
14.94
0.138
I.833
1-973
14-52
0.119
1-577
1.707
14.02
4197-257
0.148
1.963
2.104
14.94
0.138
1.833
1-973
14-52
0.120
1.587
1.717
14.10
4203.730
0.150
1.985
2.126
15-09
0.141
1.837
1.977
14.54
O.II9
1-575
I.705
14.00
4209.144
0-153
2.021
2.162
15-35
0.142
1.871
2. Oil
14.79
O.I22
1-594
1.724
14.16
4216.136
0.146
1.926
2.067
14.67
0.139
1.836
1.976
14.54
0.118
I.5S6
1.686
13.85
4220.509
0.151
1.974
2.115
15.02
0.141
1-855
1-995
14.68
0.122
1.586
1.716
14.09
4232.887
0.150
1.958
2.099
14.90
0.142
1.846
1.986
14.61
O.I22
1.582
1.712
14.06
4257.815
0.150
1-947
2.088
14.82
0.144
1.868
2.008
14-77
O.I24
1-597
1.727
14.19
4258.477
0.150
1.946
2.087
14.82
0.141
1.823
1.963
14.44
0.120
I-5S2
.682
13.82
4265.418
0.152
1.965
2.106
14-95
0.142
1.831
1.971
14-50
0.123
1-584
•714
14.08
4266.081
0.156
2.016
2-157
15.31
0.143
1.850
1.990
14.64
O.I2I
1-563
•693
13.91
4268.915
0.149
1.924
2.065
14.66
0.140
1.805
1-945
14-31
0.122
1-566
.696
13.93
4276.836
0.152
1.956
2.097
14.89
0.142
1-823
1.963
14.44
0.123
1.580
.710
14.05
4284.838
0.153
1.963
2.104
14.94
0.145
i. 860
2.000
14.71
O.I2I
I-556
.686
13-85
4287.566
0-153
1.967
2.108
14.97
0.144
1.848
1.988
14.63
O.I22
1.562
.692
13.90
4288.310
0-154
1.972
2.113
15.00
0.141
i. 808
1.948
14-33
O.I24
1-587
.717
14.10
4290.377
0.151
1-933
2.074
14.72
0.141
1.810
1.950
14.35
O.I 2O
1-537
.667
13.69
4290.542
0.150
1.922
2.063
14.65
0-145
1.858
1.998
14.70
0.125
1-599
.729
14.20
4291.630
0.152
1-949
2.090
14.84
0.140
1.796
1.936
14.24
0.123
1-575
1-705
14.00
4294.936
0.153
1-959
2.IOO
14.91
0.142
1.815
1-955
14-38
0.122
1.560
1.690
13.88
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
35
Plate
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
40. 1906, Dec. 18, 6b 40™ G. M. T. Measured by L. on T. Distance from Limb 4.1 mm. Quality, good.
O 265.9
o-n 191.5
P -8.8
D -i.S
Diameter 175.6 mm
Factor 1.049
P-P
59-9
74-9
89.9
59-9
74-9
89.9
30.1
O.I
i-S
1.4
sec>;
1. 000
I.OOO
1. 000
<t> =
o!i
0 =
°!i
<#> =
is!i
A
V
f + tlj
£
A
fl
T + fl!
1
A
V
! + «,
1
km
km
o
km
km
0
km
km
«
4196.699
0.148
1.964
2.105
14.94
0.150
1.990
2.131
I5-I3
0.138
1-833
1-973
14-50
4197.257
0.148
1.964
2.105
14.94
0.150
1.990
2.131
IS-I3
0-139
1.843
1.983
14-58
4203.730
0.152
2.013
2-154
15-29
0.149
1-975
2.116
15.02
0.141
1.863
2.003
14.72
4209.144
0.149
1.966
2.107
14.96
0.150
1.984
2.125
15.09
0.141
1.805
1-945
14-30
4216.136
0.151
1.986
2.127
15.10
0.148
I-95I
2.092
14-85
0.141
1.858
1.998
14.68
4220.509
0.150
1-975
2.116
15.02
0.152
2.OOI
2.142
15.21
0.140
1.841
1.981
14-56
4232.887
0.149
1-954
2.095
14.87
0.150
1.966
2.IO7
14.96
0.141
0.846
1.986
14.60
4257.815
0.152
1.969
2. IIO
14.98
o.iSS
2.013
2.154
I5.29
0.142
1.843
1.983
14.58
4258.477
0.152
1.968
2.IO9
14-97
0.149
•936
2.077
14-74
0.139
1.802
1.942
14.27
4265.418
0.150
1.940
2.081
14-77
0.151
•954
2.095
14.87
0.143
1.851
1.991
14-63
4266.081
0-153
1.976
2.II7
15-03
0.152
.960
2.IOI
14.92
0.143
1.850
1.990
14.63
4268.915
0.152
1-959
2. TOO
14.91
0.150
.938
2.079
14.76
0.143
1.849
1.989
14.62
4276.836
0-153
1.971
2. 112
14.99
0.151
•945
2.086
14.81
0.144
1.853
1-993
14.65
4284.838
0.152
1-953
2.094
14.87
0.152
J-953
2.094
14.87
0.142
1.824
1.964
14.44
4287.566
0.148
1.900
2.O4I
14.49
0.152
I-95I
2.092
14.85
0.140
1-797
1-937
14.24
4288.310
0.151
1-937
2.078
14-75
0.156
1.998
2.139
15-18
0.143
1.848
1.988
14.61
4290.377
0.152
1.947
2.088
14.82
0.151
1.936
2.077
14-74
0.140
1.796
1.936
14-23
4290.542
0.150
1.921
2.o62
14.64
0.151
1.936
2.077
14.74
0.144
1.844
1.984
14-58
4291.630
0.150
1.921
2.062
14.64
0.152
1.946
2.087
14.81
0.141
i. 806
1.946
14.30
4294.936
0.152
1-945
2.086
14.81
0.150
1.919
2.O6O
14.62
0.143
1.831
1.971
14.49
0 =
isli
0 =
3o!i
<f> =
so!i
4196.699
0-139
1.843
1.983
14.58
O.I 20
•592
1.722
I4-I3
0.119
1.581
1.711
14.04
4197.257
0.140
1.859
1.999
14.69
O.II9
.578
1.708
14.02
0.123
1-633
1-763
14-47
4203.730
0.141
1.867
2.007
14-75
0.123
.631
1.761
14-45
O.I22
1.616
1.746
14-33
4209.144
0-143
1.887
2.027
14.90
0.122
.610
1.740
14.28
0.120
1-584
1.714
14.06
4216.136
0.140
1.843
1.983
14.58
O.II7
•541
1.671
I3-7I
O.IlS
I-556
1.686
13-84
4220.509
0.140
1.841
1.981
14.56
O.I 21
•591
1.721
14.12
O.I 2O
1.580
1.710
14-03
4232.887
0.143
1.872
2.012
14.79
O.I 2O
-561
1.691
13-88
0.122
1-597
1.727
14.17
4257.815
0.141
1.828
1.968
14.46
O.I2I
•559
1.689
13.86
O.I22
1-585
1.715
14.07
4258.477
0.140
1.813
1-953
14-35
O.I24
.607
1-737
14.25
O.I22
1.581
1.711
14.04
4265.418
0.141
1.825
1.965
14.44
O.I2I
.560
1.690
13-87
0.124
1.604
1-734
14-23
4266.081
0.140
1.810
1-950
14-33
0.124
.604
1-734
I4-23
0.123
1.589
1.719
14.11
4268.915
0.142
1-834
1-974
14-51
O.I 2O
•547
1.677
I3-76
0.123
1.588
1.718
14.10
4276.836
0.145
1.871
2. on
14.78
O.I 22
-570
1.700
13-95
O.I22
1.566
1.696
13.92
4284.838
0.140
1.799
1-939
14-25
O.I 21
•552
1.682
13.80
O.I2I
1-552
1.682
13.80
4287.566
0.144
1.848
1.988
14.61
O.I2I
•551
1.681
13-79
O.I22
1-563
1.693
13.89
4288.310
0.141
1.808
1.948
14-32
O.I 20
•540
1.670
13.70
O.I22
1.562
1.692
13-88
4290.377
0.140
1.796
1.936
14-23
O.II9
•525
I-6S5
I3-58
O.I 2O
1.540
1.670
13.70
4290.542
0.140
1.796
1.936
14-23
O.I 21
•550
i. 680
13-79
O.II7
1.499
1.629
13-37
4291.630
0.147
1.884
2.024
14.88
O.I 21
•550
i. 680
13-79
O.I2I
i-SSo
i. 680
13-79
4294.936
0.142
1.815
1-955
14-37
O.I22
-560
1.690
13.87
O.I22
1-560
1.690
13-87
36 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate w 41. 1906, Dec. 18, 6h so"" G. M. T. Measured by L. on T. Distance from Limb 4.1 mm. Quality, good.
O 265.9
O-S2 191.5
P -8.8
D -1.5
Diameter 175.6 mm
Factor 1.049
P-P
59-9
74-9
89.9
59-9
74-9
89.9
t>
30.1
15.1
O.I
1.4
secy
I.OOO
I.OOO
I.OOO
*-
0*1
*-
«*
»-
X*
A
»
. + „
1
A
V
,-M,
£
A
t)
. + .,
•
4196.699
0.145
km
1.927
km
2.068
14.68
0.145
km
1.927
km
2.068
14.68
0.136
km
1. 806
km
1.946
14.30
4197-257
0.146
1.938
2.079
14.76
0.144
I.9I3
2.054
14.58
0.138
1.832
1.972
14.49
4203.730
0.147
1.946
2.087
14.82
0.147
1.946
2.087
14.82
0.141
I.86I
2.OOI
14.71
4209.144
0.148
1.958
2.099
14.90
0.148
1-954
2.095
14.87
0.140
1-794
•934
14.21
4216.136
0.146
1.926
2.067
14.67
0.145
1.912
2.053
14.58
0.138
1.820
.960
14.41
4220.509
0.148
1.949
2.090
14.84
0.148
1-945
2.086
14.81
0.141
1.856
.990
14-63
4232.887
0.150
1.965
2.106
14-95
0.150
1.965
2.106
14-95
0-139
1.818
•958
14-39
4257-815
0-153
1.985
2.126
15.09
0.150
1.946
2.087
14.82
0.141
1.828
.968
14.46
4258.477
0.148
1.922
2.063
14-65
0.150
1.946
2.087
14.82
0.140
1.813
•953
14-35
4265.418
0.152
1.969
2. no
14.98
0.152
1.968
2.109
14.97
0.142
1.836
•976
14.52
4266.081
0.151
1-954
2.095
14.87
0.148
1.919
2.060
14-63
0.142
1.836
1.976
14-52
4268.915
0.151
1-952
2.093
14.86
0.149
1.928
2.069
14.69
0.142
1-835
1-975
14.52
4276.836
0.152
1.960
2.IOI
14.92
0.152
J-959
2.IOO
14.91
0.141
1.817
1-957
14-38
4284.838
0.150
1.928
2.069
14.69
0.150
1.928
2.069
14.69
0.142
1.807
1-947
14-31
4287.566
0.151
1-937
2.078
14-75
0.150
1.923
2.064
14-65
0.141
1.809
1.949
14-32
4288.310
0.152
2.092
14.85
0.151
1-933
2.074
14.72
0.140
1-794
1-934
14.21
4290.377
0.151
I-936
2.077
14-75
0.149
1.912
2-053
14.58
0.142
1.803
1-943
14.28
4290.542
0.151
1.936
2.077
14-75
0.150
1.922
2.063
14-65
0.140
1.792
1.932
14.20
4291.630
0.151
1.936
2.077
14-75
0.150
1.922
2.063
14.65
0.141
1.807
1.947
I4-3I
4294-936
0.151
1-934
2.075
14-74
0.152
1-945
2.086
14.81
0.140
1.791
I-93I
14.19
*-
.,:,
*-
*
*-
30! i
4196.699
0.136
1.806
1.946
14-30
O.I2I
1.607
1-737
14.25
0.115
•525
1-655
I3-S8
4197-257
0.136
i. 806
1.946
14-30
O.I2I
1.607
1-737
14-25
0.117
•551
.681
13-79
4203.730
0-139
1.840
1.980
14-55
O.I 2O
1-590
1.720
14.11
0.119
•574
.704
13.98
4209.144
0.140
1.848
1.988
14.61
O.II8
-558
1.688
13-85
0.119
•572
.702
13-97
4216.136
0-137
1.805
1-945
14-30
O.IlS
-556
1.686
13-84
0.116
•529
•659
13.61
4220.509
0.138
1.814
1-954
14.36
O.IlS
•554
1.684
13.82
0.120
-578
.708
14.02
4232.887
0.141
1-794
1-934
14.21
O.I 2O
-571
1.701
13.96
0.119
1-561
.691
13.88
4257-815
0.142
1.843
1.983
14-58
0.122
.585
I-7I5
14.07
O.I 2O
1-554
.684
13.82
4258.477
0.140
1.812
1-952
14-34
0.123
-591
1.721
14.12
O.I2I
1-565
-695
I3-9I
4265.418
0.140
1.809
1-949
14-32
O.I2I
-567
1.697
13-93
0.120
1-552
.682
13.80
4266.081
0.141
1.826
1.966
14-45
O.I2I
•567
1.697
13-93
O.I22
1-576
.706
14.00
4268.915
0.141
1.824
1.964
14.44
0.123
.588
1.718
14.10
O.I 2O
.681
13-79
4276.836
0.142
1.832
1.972
14.49
O.I22
•574
1.704
13.98
0.123
1-583
•713
14.06
4284.838
0.143
1.839
1.979
14-55
O.I22
.567
1.697
13-93
O.II9
1-530
.660
13.62
4287.566
0.141
1.807
1.947
14-31
O.I22
-566
1.696
13.92
O.I22
I-57I
.701
13.96
4288.310
0.141
1.807
1.947
14-31
O.I24
•591
1.721
14.12
O.I2I
1.562
.692
13.88
4290.377
0.142
1.819
1-959
14.40
0.123
-577
1.707
14.01
O.I2I
1.562
.692
13-88
4290.542
0.142
1.819
1-959
14.40
0.122
-566
1.696
13.92
0.123
I-S7S
•705
13-99
4291.630
0.142
1.817
1-957
14.38
O.II8
1.514
1.644
13-49
O.I22
1-565
1.695
13-91
4294.936
0-143
1.831
1.971
14.49
O.I22
1.560
1.690
13-87
O.I22
1-564
1.694
13.90
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
37
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS or 1906-1907 — Continued.
Plate 1046. 1906, Dec. 18, ioh 30™ G. M. T. Measured by L. on T. Distance from Limb 4.1 mm. Quality, good.
O 266.1
O-O 191.7
P -8.8
D -1.5
Diameter 175.0 mm
Factor 1.047
P-P
30.6
45-6
30.6
45-6
59-4
44.4
2.9
2.1
seen
I.OOI
I.OOI
0 =
44?4
0 =
44?4
0 =
44?4
X
A
»
f + «l
e
A
V
H + Uj
{
A
V
f + Pj
E
km
km
.
km
km
o
km
km
o
4196.699
0.088
I.I68
.281
12.73
0.086
1.138
•251
12.43
0.088
.164
1.277
12.69
4197.257
0.088
1.168
.281
12.73
0.088
1.163
.276
12.68
0.089
.178
1.291
12.83
4203.730
0.090
1.187
.300
12.92
0.090
.187
.300
12.92
0.092
.216
•329
13.21
4209.144
0.090
1.186
•299
12.91
0.090
.186
.299
12.91
0.092
.211
-324
13.16
4216.136
0.089
1.170
-283
12.75
0.091
.198
•3"
13-03
0.088
•159
.272
12.64
4220.509
0.091
1-193
-306
12.98
0.091
.197
.310
13.02
0.092
.208
.321
13-13
4232-887
0.092
I.2OI
.314
13.06
0.093
•215
.328
13.20
0.090
.176
.289
12.81
4257.815
0.093
1.205
-318
13.10
0.093
.204
•317
13.09
0.092
.189
.302
12.94
4258.477
0.092
1.187
.300
12.92
0.093
.204
I-3I7
13.09
0.090
-I6S
.278
12.70
4265.418
0.095
1.226
•339
13-31
0.094
1.209
1.322
13-14
0.093
.199
.312
13-04
4266.081
0.092
1.185
.298
12.90
0.092
1-185
1.298
12.90
0-092
1.188
.301
12-93
4268.915
0.092
1.182
•295
12.87
0.092
1.184
1.297
12.89
0.093
1.198
•3"
13.02
4276.836
0.091
1.171
.284
12.76
0.093
1.196
1.309
13.01
0.092
1.185
.298
12.90
4284.838
0.092
1.180
•293
12.84
0.092
1.180
1.293
12.85
0.090
I-I59
.272
12.64
4287.566
0.096
1.231
•344
13-35
0.092
1.179
1.292
12.84
0.092
1.179
.292
12.84
4288.310
0.090
I-I54
.267
12.59
0.092
1.179
1.292
12.84
0.091
1.168
.281
12.73
4290.377
0.090
1.149
.262
12.54
0.093
1.163
1.276
12.68
0.090
I-I54
•277
12.69
4290.542
0.089
1.139
.252
12.44
0.091
1.149
1.262
12-54
0.092
1.178
.291
12.83
4291.630
0.091
1.164
.279
12.71
0.092
1.178
1.291
12.83
0.091
1.167
.280
12.72
4294.936
0.092
1.177
.290
12.82
0.094
1.198
1.311
13-03
0.092
1.177
.290
12.82
0 =
S9!4
0 =
S9°A
0 =
S9t4
4196.699
0.058
0.766
0.852
11.88
0.058
0.768
0-854
11.91
0.060
0-793
0.879
12.26
4197.257
0.056
0.736
0.822
11.46
0.06 1
0.804
0.890
12.41
0.057
0-757
0.843
11.76
4203.730
0.060
0.792
0.878
12.25
0.06 1
0.803
0.889
12.40
0.064
0.844
0-930
12.97
4209.144
0.062
0.8 1 6
0.902
12.58
0.062
0.816
0.902
12.58
0.062
0.816
0.902
12.58
4216.136
0.060
0.790
0.876
12.22
0.06 1
0.801
0.887
12.37
0.058
0.764
0.850
11.85
4220.509
0.062
0.814
0.900
12-55
0.062
0.814
0.900
12.55
0.061
0.803
0.889
12.40
4232.887
0.062
0.812
0.898
12.52
0.063
0.822
0.908
12.66
0.065
0.848
0-934
13-03
4257.815
0.064
0.828
0.914
12-74
0.064
0.825
0.911
12.71
0.062
0.802
0.888
12.38
4258.477
0.06 1
0-793
0.879
12.26
0.062
0.800
0.886
12.36
0.062
0.839
0.925
12.90
4265.418
0.065
0.847
0-933
13.01
0.06 1
0.788
0.874
12.19
0.064
0.829
0.915
12.76
4266.081
0.064
0.827
0.913
12-73
0.064
0.824
0.910
12.69
0.065
0.839
0.925
12.90
4268.915
0.063
0.812
0.892
12.44
0.065
0.838
0.924
12.89
0.063
0.809
0.875
12. 2O
4276.836
0.062
0.802
0.888
12.38
0.062
0-797
0.883
12.32
0.062
0.797
0.883
12.32
4284.838
0.06 1
0.788
0.874
12.19
0.065
0.831
0.917
12.79
0.063
0.806
0.892
12.44
4287.566
0.063
0.809
0.895
12.48
0.063
0.805
0.891
12.43
0.061
0.781
0.867
I2.O9
4288.310
0.062
0-795
0.881
12.29
0.064
0.820
0.906
12.64
0.062
Q-795
0.881
12.29
4290.377
0.060
0.770
0.856
11.94
0.062
0.794
0.880
12.27
0.063
0.805
0.891
12.43
4290.542
0.061
0.784
0.870
12.13
0.062
0-794
0.880
12.27
0.063
0.805
0.891
12.43
4291.630
0.062
0-794
0.880
12.27
0.063
0.804
0.890
12.41
0.062
0-794
0.880
12.27
4294.936
0.062
0.794
0.880
12.27
0.06 1
0.780
0.866
12.08
0.063
0.804
0.890
12.41
38 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate w 47. 1906, Dec. 18, lo11 50™ G. M. T. Measured by L. on T. Distance from Limb 3.9 mm. Quality, good.
O 266.1
o-n 191.7
P -8.8
D -1.5
Diameter 175.0 mm
Factor 1.047
p— P TT <t> ij seci?
30.6 30.6 59.4 2.9 i.ooi
38.1 38.1 51.9 2.4 i.ooi
45.6 45.6 44.4 2.1 I.OOI
54.6 54.6 35.4 1.8 i.ooo
0 =
35t4
0 =
35!4
0 =
44t4
A
D
H-*
'
A
V
. + .,
•
A
V
, + „
«
4196.699
o.i 06
km
1.410
km
1-535
13-37
O.IOI
km
1.386
km
1.511
13.16
0.086
km
.169
km
.282
12.74
4197-257
0.107
1.417
1-542
13-43
0.103
1.366
1.491
12.99
0.088
.169
.282
12.74
4203.730
0.105
1.386
1.511
13.16
0.108
1.427
1-552
I3-52
0.092
.20?
.320
13.12
4209.144
0.108
1.426
1.551
13-51
0.106
1.398
I-523
13.26
0.091
.197
.310
13.02
4216.136
0.109
1-434
1-559
13.58
0.102
1.392
I-5I7
13.21
0.090
.185
.298
12.90
4220.509
0.108
1.418
1-543
13-44
o.i 06
1-391
1.516
13.20
0.092
.209
.322
I3-I4
4232.887
0.108
I-4IS
1-540
13-41
0.104
1.405
1-530
13-33
0.091
.187
.300
12.92
4257.815
0.108
1.400
I-S2S
13.28
0.108
1-397
1-522
13.26
0.092
-205
•315
13-07
4258.477
0.109
1.410
1-535
13-37
0.107
1.386
1.511
13.16
0.092
.202
•315
13-07
4265.418
0.109
1.408
J-533
13-35
0.108
1-394
I-5I9
13-23
0.095
.224
1-337
13-29
4266.081
O.III
1.432
1-557
13-56
o.i 06
1.369
1-494
13.01
0.093
.2OO
I-3I3
13-05
4268.915
O.II2
1-445
1-570
13.67
0.108
1-393
1.518
13.22
0.093
.199
1.312
13.04
4276.836
O.II4
1.464
1.589
13.84
O.IIO
i-4i5
•540
I3-4I
0.094
.207
1.320
13.12
4284.838
O.IIO
1.410
1-535
13-37
O.III
1.426
•551
I3-5I
0.094
.204
I-3I7
13.09
4287.566
0.109
1-395
1.520
13-24
0.107
1-370
•495
13.02
0.092
.l8o
1.293
12.85
4288.310
0.108
1-385
1.510
13-15
0.108
1.384
•509
I3-I4
0.096
.229
1-342
13-34
4290.377
0.108
1.384
1.509
13-14
0.109
1-395
.520
13-24
0.092
I.I79
1.292
12.84
4290.542
0.108
1-384
1.509
13-14
0.108
1.384
•509
13-14
0.092
I.I79
1.292
12.84
4291.630
0.108
1.384
1.509
13-14
0.108
1-379
•504
13.10
0.093
I.I89
1.302
12.94
4294.936
O.II2
1-433
I.5S8
13-57
0.106
1-354
•479
12.88
0.093
1.189
1.302
12.94
0 =
*9
0 =
5:!9
0 =
S9?4
4196.699
O.072
0-955
1.056
12.15
0.073
0.967
i. 068
12.28
0.060
0-793
0.879
12.26
4197-257
0.073
0.966
1.067
12.27
0.075
0-995
1.096
12.65
0.057
0.757
0.843
11.76
4203.730
0.073
0.964
1.065
12.25
0.075
0.994
1.095
12.64
0.058
0.766
0.852
11.88
4209.144
0.074
0.977
1.078
12.40
0.074
0.978
1.079
12.41
0.064
0.849
0-935
13-04
4216.136
0.074
0.976
1.077
12.39
0.074
0.977
1.078
12.40
0.060
0.790
0.876
12.22
4220.509
0.075
0.985
i. 086
12.49
0.075
0.983
1.084
12.47
0.06 1
0.800
0.886
12.36
4232.887
0.078
1.014
1.115
12.82
0.073
0-955
1.056
12.15
0.062
0.808
0.894
12.47
4257-815
0.076
0.984
1.085
12.48
0.076
0.985
i. 086
12.49
0.064
0.828
0.914
12.75
4258.477
O.oSo
1-035
1.136
13-07
0.076
0.985
i. 086
12.49
0.065
0.846
0.932
13.00
4265.418
0.076
0.982
1.083
12.46
0.074
0-959
i. 060
12.19
0.065
0.845
0.931
12.98
4266.081
0.079
i. 020
1. 121
12.89
0.078
1.009
i. no
12.87
0.067
0.865
I3-24
4268.915
0.074
0-957
1.058
12.17
0.075
0.969
1.070
12.32
0.062
0.798
0.884
12.33
4276.836
0.079
1.017
1.118
12.86
0.074
0-953
1.054
12.13
0.062
0.797
0.883
12.32
4284.838
0.077
0.991
1.092
12.56
0.076
0.976
1.077
12.39
0.06 1
0.785
0.871
12.15
4287.566
0.078
I.OOI
I.IO2
12.68
0.079
I.OIO
i. in
12.88
0.065
0.833
0.919
12.82
4288.310
0.077
0.986
I.OS?
12.50
0.081
1.034
I-I35
13-05
0.064
0.819
0.905
12.62
4290.377
0.078
I.OOO
I.IOI
12.67
0.080
1.023
1.124
12.93
0.064
0.819
0.905
12.62
4290.542
O.O8O
1.024
1.125
12.94
0.077
0.986
1.087
12.50
0.064
0.819
0.905
12.62
4291.630
0.079
I.OIO
I. Ill
12.87
0.079
1.009
i. no
12.87
0.063
0.805
0.891
12.43
4294.936
0.075
0-959
1. 060
12.19
0.078
0.998
1.099
12.65
0.062
0-794
0.880
12.27
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
39
Plate
TABLE 4. — RESULTS FOB INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
50. 1907, Feb. 3, $h 40"" G. M. T. Measured by L. on T. Distance from Limb 3.5 mm. Quality, good.
O
0-0
P
D
313.8
239-4
13.0
-6.3
Diameter 174.1 mm
Factor 1.042
p-p
7T
4>
1
sec 17
10.5
12.2
77°8
3°-9
1.166
19.5
20-S
69-S
18.1
1.052
35-5
36.0
54-0
10.6
1.017
Si-5
51.8
38-2
7-9
1.009
66.5
66.7
23-3
6.8
1.008
82.3
82.5
7-5
6-3
1.006
<t> = ?!s
<t> - 13°3
<t> = 38t2
A
»
V + »!
{
A
V
» + »!
«
A
»
» + »,
{
km
km
O
km
km
.
km
km
e
4196.699
0.141
1.861
2.OO2
14-32
0.128
1.700
1.834
14.18
0.104
1.383
.500
13-55
4197-257
0.141
1.861
2.002
14.32
0.129
I-7I3
1.847
14.28
0.105
1-395
•512
13-66
4203.730
0-143
1.888
2.O29
14-52
0.130
I.72I
1-855
14-34
0.106
1.400
•517
13-70
4209.144
0.144
1.896
2.037
14-57
0.130
1.719
1-853
14-32
0.106
1-399
.516
13-70
4216.136
0.142
1.867
2.008
14-37
0.129
1.699
1.834
14.18
0.104
1-374
.491
13-47
4220.509
0.144
1.892
2-033
14-54
0.130
I.7I2
1.846
14.27
0.106
1-397
•514
13-68
4232.887
0.143
1.872
2.013
14.40
0.130
'•70S
1.839
14.22
0.106
i-39i
.508
13.62
4257-815
0.145
1.897
2.038
14.58
0.132
1.714
1.848
14.28
0.108
1.404
•521
13-74
4258.477
0.143
1-854
1-995
14.27
0.130
1.688
1.822
14.08
0.108
1-403
.520
-J3-73
4265.418
0.146
1.887
2.028
14-51
0.131
1.697
I.83I
I4-I5
0.108
1-399
.516
I3-70
4266.081
0.146
i. 880
2.021
14.46
0.134
1-734
1.868
14.44
0.108
•399
.516
13-70
4268.915
0.146
1.879
2.020
14.45
0.130
1.682
1.816
14.04
0.109
.402
•519
I3-72
4276.836
0.145
1.863
2.OO4
14-34
0.131
1.689
1.823
14.09
0.108
•390
1-507
13.61
4284.838
0.145
i. 86 1
2.OO2
14.32
0.131
1.683
1.817
14.04
O.IIO
•415
1-532
13.84
4287.566
0.144
1-855
1.996
14.28
0.134
1.721
1-855
14-34
0.108
-388
I-505
13.60
4288.310
0.144
1.847
1.988
14.22
0-133
1.708
1.842
14.24
O.IIO
•413
1-530
13.82
4290-377
0.144
1.847
1.988
14.22
0.131
1.681
1.815
14.03
0.107
-378
1-495
I3-5I
4290.542
0.146
1.870
2.OII
14-39
0.132
1.694
1.828
I4-I3
O.I 1 1
•424
I-54I
13.92
4291.630
0.144
1.849
1-990
14.24
0.130
1.667
1.801
13.92
0.109
-397
I-SU
13-68
4294.936
0.147
i. 880
2. 02 1
14.46
0.131
1.679
1.813
14.01
0.108
-385
1.502
13-57
<t> = 54!"
<*> = 6g°.S
<t> = 77!8
<t> = 77:8*
A
V
f + tij
1
A
»
» + »,
1
A
»
f + »!
£
A
V
» + »,
I
km
km
0
km
km
0
km
km
0
km
km
«
4196.699
0.068
0.911
I.OOI
I2.0Q
0.038
0.527
0.583
|ll.82
0.015
0.232
0.266
8.94
0.016
0-253
0.285
9.64
4197-257
0.068
0.911
I.OOI
I2.O9
0.039
0.541
0-597
I2.IO
0.016
0-245
0-27?
9-37
0.017
0-259
0-293
9.84
4203.730
0.069
0.923
I.OI5
12.24
0.040
0-552
0.608
12-33
0.019
0.292
0.326
10.95
0.021
0.329
0-363
12. 2O
4209.144
0.071
0.946
1.036
I2-5I
0.040
0-551
0.607
12.31
0.018
0.276
0.310
10.41
O.O2O
0.306
0.340
11.42
4216.136
0.067
0.892
0.982
11.86
0.038
0.525
0.581
11.78
0.017
0.260
0.294
9.88
O.OI7
0.260
0.294
9.88
4220.509
0.069
0.918
i. oof
12.18
0.040
0-549
0.605
12.26
0.017
0.259
0.295
9.84
0.021
0.317
0.351
11.79
4232.887
0.070
0.926
.016
12.27
0.039
0-533
0.589
11.94
0.019
0.288
0.322
10.82
O.OI?
0.264
0.29?
10.01
4257-815
0.072
0-943
•03:
12.48
0.042
0.570
0.626
12.69
O.O2I
0.313
0-34/
11.66
O.OI9
0.283
0.313
10.65
4258.477
0.069
0.906
o.ggf
I2.O2
0.041
0-555
0.611
12.39
O.OlS
0.271
0.305
10.25
0-023
0-343
0-373
12.67
4265.418
0.071
0.928
.01 i
! 12.30
0.041
0-554
o.6ic
12-37
O.OlS
0.270
0.304
IO.2I
0.019
0.282
0.316
10.62
4266.081
0.073
0.952
.04;
12-59
0.043
0-577
0.633
12.83
O.02I
0-3I3
0-347
11.66
O.O22
0-325
0-35?
1 2.06
4268.915
0.070
0.912
.00;
12. II
0.039
0.527
0-583
11.82
0.018
0.270
0.304
IO.2I
O.O2I
0.322
0-35?
11.96
4276.836
0.070
0.912
.00:
12. II
0.040
0.538
0-595
1 2.O6
O.O2O
0.299
0-333
11.19
0.022
0.324
0-35*
12.03
4284.838
0.073
0.948
.03*
! 12.54
0.041
o.SSi
0.607
12.30
0.019
0.283
o.3i/
10.64
O.O2O
0.301
0-33=
11.25
4287.566
0.072
0.936
.026
12.39
0.042
0.565
0.619
12-55
0.018
0.269
0-303
10.18
O.OI9
0.285
0-31?
10.72
4288.310
0.072
0-935
.02;
12.38
0.040
0-537
0.593
12. 02
0.019
0.282
0.316
10.62
0.019
0.280
0.314
10.55
4290.377
0.073
0.944
•034
[ 12.49
0.040
0-537
0-593
1 2. 02
0.019
0.282
0.316
10.62
O.O2O
0.298
0-33=
11.15
4290.542
0.072
0.932
.02i
12.35
0.041
0.548
0.605
12.26
0.018
0.268
0.302
10.15
0.023
0-345
0-37?
12.73
4291.630
0.068
0.880
0.97C
> 11.71
0.041
0.548
0.605
12.26
O.O2O
0.297
0.331
II. 12
0.022
0-333
0.365
12.33
4294.936
0.072
0.931
1.021
12-33
0.044
0.589
0.640
12.97
0.018
0.268
0.302
10.15
O.OlS
0.269
0-30;
10.18
* Measured by A. on G.
4O AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate w 56. 1907, Feb. 15, 6h sm G. M. T. Measured by L. on T. Distance from Limb 3.4 mm. Quality, good.
p-f
JT
<t>
•n
seci)
O 325.9
19.4
20.5
69.S
19.9
1.064
O-Q 251.5
35-4
36.0
54-0
11.7
i. 02 1
P 17-5
Si-4
51-7
38-3
8.8
I.OI2
D -6.9
67-4
67.6
22.4
7-4
1.008
Diameter 174.0 mm
82.4
82.5
I 7-5
6.9
1.007
Factor 1.041
*-
f.S
0 =
22?4
0=
38!3
X
A
t>
. + ,,
i
A
D
. + +
•
A
V
. + .,
1
km
km
o
km
km
•
km
km
0
4196.699
0.141
1.871
2.012
14.41
0.127
1.691
1.825
14.01
0.098
1-307
1.422
12.86
4197-257
0.142
1.883
2.024
14.49
0.128
1.701
1-835
14.08
0.098
I-307
1.422
12.86
4203.730
0.143
1.892
2-033
14.56
0.131
1-734
1.868
14-33
0.102
1-350
I-465
13-25
4209.144
0.143
1.889
2.030
14-54
0.131
1.732
1.866
14-32
O.IOI
1-337
1.452
13.14
4216.136
0.142
1.872
2.013
14.41
0.128
1.790
1.824
14.00
O.IOO
1-324
1-439
13.02
4220.509
0.143
1.881
2.O22
14.48
0.132
1.732
1.866
14.32
0.103
1-359
1-474
13-34
4232.887
0.143
1.858
1.999
14-31
0.132
1-730
1.864
14.30
O.IO2
1.341
1.456
13-17
4257.815
0.147
1.907
2.048
14.67
0.135
1-749
1.883
14-45
O.I 06
1-374
1.489
13-47
4258.477
0.145
1.881
2.O22
14.48
0.132
1.709
1.843
14.14
O.I02
1.329
1.444
13-07
4265.418
0.144
1.862
2.003
14-34
0.133
1.721
1-855
14.23
0.103
1-335
1-450
13.12
4266.081
0.146
1.888
2.O29
14-53
0.135
1.746
i. 880
14-43
o.i 06
1-372
1.487
13-45
4268.915
0.147
1.898
2.039
14.60
0.132
I-703
1-837
14.10
0.104
I-346
1.461
13.22
4276.836
0.145
1.868
2.OO9
14-39
0.134
1.727
i. 86 1
14.28
0.104
J-345
1.460
13.21
4284.838
0.146
1.874
2.015
M-43
0.133
1.709
1-843
14.14
0.103
1.329
1-444
13-07
4287.566
0.146
1-873
2.014
14-42
0.133
1.708
1.842
I4-I3
0.104
1.340
1-455
13.16
4288.310
0.144
1.848
1.989
14.24
0.133
1.707
1.841
I4-I3
0.104
1-339
1-454
13.16
4290.377
O.I4S
1.858
1-999
14-31
0-133
1.706
1.840
14.12
0.104
1.338
1-453
I3-I5
4290.542
0.145
1.858
1.999
14-31
0.134
1.717
1.851
14.20
0.105
1-349
1.464
13-25
4291.630
0.144
1.844
1.985
14.21
0.133
1.704
1.838
14.10
0.103
I-325
1.440
13-03
4294.936
0.146
1.868
2.009
14-39
0.134
1.716
1.850
14.20
0.104
I-336
I-45I
13.13
o
0 =
54.0
0 =
69!S
4196.699
0.067
0.910
.000
12.08
0.038
0-533
0.586
11.88
4197-257
0.069
0.932
.022
12.34
0.038
0-533
0.586
11.88
4203.730
0.072
0.969
•059
12.79
0.042
0.587
0.640
12.97
4209.144
0.072
0.966
•056
12.75
0.042
0.586
0.639
12.95
4216.136
0.068
0.909
0.999
12.07
0.038
0-530
0.583
11.82
4220.509
0.071
0.951
.041
12.57
0.042
0.582
0.635
12.87
4232.887
0.072
0-959
•049
12.67
0.041
o.547
0.600
12.16
4257-815
0.074
0.971
.061
12.82
0.043
0.588
0.641
12.99
4258.477
0.072
0.947
•037
12.53
0.041
0.544
0-597
12. IO
4265.418
0.072
0.945
•035
12.50
0.042
0-573
0.626
12.69
4266.081
0.074
0.969
•059
12.79
0.044
0.600
0.653
13.24
4268.915
0.072
0.944
•034
12.49
0.040
0.542
0-595
12. 06
4276.836
0.073
0.956
.046
12.63
0.042
0.568
0.621
12-59
4284.838
0.072
0-943
•033
12.48
0.041
0-555
0.608
12-33
4287.566
0.074
0.964
•054
12.73
0.041
0-554
0.607
12.31
4288.310
0.073
0-953
•043
12.60
0.041
0-554
0.607
12.31
4290.377
0.071
0.919
.009
12.19
0.041
0-554
0.607
12.31
4290.542
0.073
0.952
.042
12.58
0.041
0-553
0.606
12.28
4291.630
0.074
0.963
•053
12.72
0.043
0.580
0-633
12.83
4294.936
0.076
0.986
.076
13.00
0.041
0-533
0.586
11.88
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS or 1906-1907 — Continued.
Plate 01 60. 1907, Feb. 28, 7h ism G. M. T. Measured by L. on T. Distance from Limb 3.0 mm. Quality, good.
P-P
sect;
0-0
f
D
339-1
264.7
21.4
-7-2
Diameter 173.2 mm
Factor 1.036
38.9
39-5
50-5
11.4
.020
45-9
46-3
43-7
IO.O
.015
54-7
55-o
35-0
8.8
.OI2
6i.7
61.9
28.1
8.2
.010
69-4
69.6
20.4
7-7
.009
83-4
83-5
6.5
7-4
.008
<t> = b°5
<t> = 6ts
•t> = 20°4
A
V
» + »,
i
A
»
» + »,
1
A
D
»+ Jlj
£
km
km
0
km
km
0
km
km
o
4196.699
0.144
1.904
2.044
14.60
0.143
1.892
2.032
14-52
0.128
1.697
1.830
13-86
4197-257
0.144
1.904
2.044
14.60
0.144
1.804
2.044
14.60
0.130
1.717
1.850
14.01
4203.730
0.146
1.927
2.067
14.78
0.146
1.928
2.068
14.78
0.130
1.716
1.849
14.00
4209.144
0.147
1.936
2.076
14-83
0.145
1.909
2.049
14.64
0.131
1.725
1.858
14.07
4216.136
0.146
1.918
2.058
14.71
0.146
I-93I
2.071
14.79
0.129
1.697
1.830
13-86
4220.509
0.146
I-9I5
2-055
14.68
0.146
1.929
2.069
14.78
0.131
1.719
1.852
14-03
4232.887
0.147
1.919
2.059
14.71
0.148
1.932
2.072
14.80
0.132
1.724
I-857
14.06
4257.815
0.150
1.940
2.080
14.86
0.151
I-95I
2.091
14.94
0-133
1.721
1.854
14.04
4258.477
0.148
1.908
2.048
14.63
0.147
1.901
2.041
14-58
0.132
1.708
1.841
13-94
4265.418
0.147
1.895
2-035
14-54
0.148
1.908
2.048
14.63
0.131
1.691
1.824
13.82
4266.081
0.147
1.895
2-035
14-54
0.150
1-933
2-073
14.81
0-135
1-744
1.877
14.22
4268.915
0.148
1.905
2.045
14.61
0.149
1.912
2.052
14.66
0.133
1.714
1.847
13-99
4276.836
0.146
1-873
2.013
14.38
0.149
1.912
2.052
14.66
0.132
1.696
1.829
13-85
4284.838
0.149
1.907
2.047
14.63
0.146
1.868
2.008
14-35
0.134
1.717
1.850
14.01
4287.566
0.149
1.906
2.046
14.62
0.149
1.906
2.046
14.62
0.131
1.678
1.811
13-71
4288.310
0.149
1.905
2-045
14.61
0.147
1.869
2.009
14-35
0.132
1.690
1.823
13.80
4290.377
0.147
1.877
2.017
14.41
0.146
1.865
2.005
14.32
0.134
1-703
1.836
13-90
4290.542
0.147
1.877
2.017
14.41
0.149
1.903
2-043
14-59
0.132
1.689
1.822
13.80
4291.630
0.146
1.864
2.004
14-32
0.148
1.887
2.027
14.48
0.133
1.700
I-833
13.88
4294.936
0.148
1.887
2.027
14.48
0.148
1.887
2.027
14.48
0.134
1.710
1.843
13.96
<t> = 28tl
0 = 35to
0 = 43?7
<t> = s°!s
A
i)
v + v1
t
A
V
v + i>i
{
A •
r
» + »!
1
A
J
» + I,
£
km
km
0
km
km
0
km
km
0
km
km
o
4196.699
0.114
1.510
1.636
I3-I7
0.104
1.380
1-497
12.97
0.086
1.144
.245
12.24
0.073
0-977
I.o6f
11.92
4197-257
0.114
1.510
1.636
I3-I7
0.104
1.380
1.497
12.97
0.087
1.158
.261
12.38
0.074
0.989
i.oSc
12.05
4203.730
0.118
1.562
1.67?
I3-50
0.106
1.401
I.SiS
13.16
0.088
I.I68
.271
12.48
0.075
i. 002
1.091
12. 2O
4209.144
0.118
J-557
1.683
13-55
0.106
.400
I-5I7
13-15
0.089
1.182
.285
12.62
0.075
1. 000
1.091
12. l8
4216.136
0.114
1.501
I.62/
13.09
0.105
•384
1.501
13.01
0.087
1.152
•255
12.32
0.074
0.985
1.076
12.01
4220.509
O.I 20
1-572
1.69?
I3-67
0.107
.406
I-523
13.20
0.089
1. 174
•277
12.54
0.077
1. 02 1
1. 112
12.41
4232.887
O.I 2O
i-57o
1.696
I3-65
0.107
.401
1-518
13.16
0.090
1.182
.285
12.62
0.076
1.004
1.095
12.22
4257.815
O.I22
1.580
1.706
'3-73
o. 109
-413
•53°
13-26
0-093
I.2IO
•313
12.89
0.078
1.020
I. Ill
I2.4O
4258.477
O.I2I
1-563
1.685
13-59
0.108
•397
•5M
13.12
0.092
I-I93
•297
12.74
0.077
1.008
1.099
12.27
4265.418
O.I 2O
1-55°
1.676
13-49
0.108
•396
.513
13-"
0.092
I.I92
•295
12.72
0.076
0-993
1.084
12. IO
4266.081
0.123
1.582
1.708
13-75
0.109
•409
.526
13-23
0.094
I.22O
•323
12.99
0.079
1.029
1. 120
12.50
4268.915
0.120
1.548
I-674
13-47
0.108
•395
•5"
13.10
0.092
1.189
.292
12.69
0.077
I.OO4
1.095
12.22
4276.836
O.I22
1.568
1.694
I3-63
O.I 10
•4i5
•532
13.28
0.091
I.I76
-279
12.56
0.076
0.989
I.OSO
12.05
4284.838
O.I2I
1-552
1.678
I3-50
0.108
.387
1-504
13.04
0.093
I.I97
.300
12.77
0.078
1. 01 1
I.IO2
12.30
4287.566
0.122
1.566
1.694
13-63
0.108
1-387
1.504
13-04
0.092
1.186
.289
12.66
0.076
0.985
I.O76
12.01
4288.310
O.I2I
1-552
1.678
I3-50
0.109
1.398
I-5I5
13-13
0.092
1.185
1.288
12.65
0.078
1.009
I.IOO
12.28
4290.377
O.I22
1.564
1.690
13.60
0.108
1-385
1.502
13.02
0.092
1.184
1.287
12.64
0.075
0.972
1. 06.5
11.86
4290.542
O.I2I
1-55°
1.676
13-49
0.109
1-397
1-514
13.12
0.092
1.182
1.285
12.62
0.077
0.996
I.OS?
12.13
4291.630
O.I22
1.560
1.686
13-57
0.108
1.384
1-501
13.01
0.093
i-i93
1.296
12.73
0.078
1.008
1.099
12.27
4294.936
0.122
1-559
1.685
I3-S6
0.108
1-383
1.500
13.00
0.092
1.181
1.284
1 2.6 1
0.078
1.007
1.098
12.26
42 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate w 61. 1907, Feb. 28, 7h 4Om G. M. T. Measured by L. on T. Distance from Limb 3.1 mm. Quality, good.
P-P
sec 17
o
339-1
23-7
24.7
65-3
I7-S
1.049
o-n
264.7
29.7
30.S
59-5
M-3
1.032
p
21.4
38-9
39-S
5°-5
11.4
1. 020
D
-7.2
45-9
46.3
43-7
IO.O
1.016
Diameter
173.2 mm
Factor
i-°37
p i
0 =
43t7
*-
So!5
*-
S9°S
*-
59:5
A
V
» + .,
1
A
V
V + Pj
«
A
I)
» + »!
1
A
V
, + ,,
«
km
km
•
km
km
•
km
km
0
km
km
O
4107 2^7
*T Ay / **o /
4203.730
0.086
1. 144
.247
12.25
0.076
1.015
1.106
12.34
0.054
0.730
0.801
II. 20
0.056
0-757
0.828
".58
4209.144
0.088
1.148
•251
12.28
0.077
1.026
1.117
12.47
0.058
0.781
0.852
11.92
0.055
0.742
0.813
"•37
4216.136
0.085
1.127
.230
12.08
0.073
0.971
1.062
11.85
0.054
0.728
0.799
11.18
0-053
0-7I3
0.784
10.97
4220.509
0.086
I-I39
.242
12.20
0.076
1.009
I.IOO
12.28
0.058
0.779
0.850
11.89
0-055
0-739
O.SlO
"•33
4232.887
0.088
1.158
.261
12.38
0.076
1.004
1.095
12.22
0.056
0.752
0.823
11.51
0.056
0-749
0.820
11.47
4257.815
0.090
1.174
.277
12.54
0.079
1-034
•125
12.56
0.060
0.803
0.874
12.22
0.060
0.794
0.865
12. IO
4258.477
0.089
I.I57
1.260
12.37
0.079
1-033
.124
12.55
0.057
0-754
0.825
"•54
0.058
0.765
0.836
11.69
0.077
1. 001
.006
12.23
0.058
0.768
0.839
11.74
0.060
0.791
0.862
I 2. 06
4266 081
0.092
1.196
1.309
12.85
WJ
:?
.121
12.11
0.060
O.702
0.86-?
12.07
4268.015
0.078
1.015
.106
* *•• 0 *
12.34
0.059
v. / y *
0.778
"W"O
0.849
11.88
0.060
0.791
0.862
I 2. 06
4276.836
0.096
1.163
1.266
12.43
0.078
1.013
.IO4
12.32
0.057
0.749
0.820
11.47
0.058
0.761
0.832
II.&4
4284.838
0.096
1.161
1.264
12.41
0.079
1.024
•"5
12.44
0.058
O.760
0-831
11.62
0.058
0.760
0.831
11.62
4287.566
0.092
1.186
1.289
12.66
0.079
1.023
.114
12.43
0.057
0.746
0.817
"•43
0.058
0.760
0.831
11.62
4288.310
0.091
I-I75
1.278
12.55
0.079
1.022
•"3
12.42
0.060
0.785
0.856
11.97
0.059
0-773
0.844
II.80
4290.377
0.091
I-I73
1.276
12.53
0.077
0-995
.086
12.12
0.059
0.772
0.843
11.79
0.059
0-773
0.844
II.SO
4290.542
0.090
I-I59
1.262
12.39
0.080
1.034
-125
12.56
0.058
0.760
0.831
11.62
0.060
0.784
0.855
11.96
4291.630
0.091
1.172
1-275
12.52
0.078
1.008
.099
12.2?
0.058
0.758
0.829
1 1. 60
0.060
0.784
0.855
11.96
4294.936
0.090
I-I57
1.260
12.37
0.077
0-994
.085
12. II
0.059
0.771
0.842
11.78
0.058
0.758
0.829
1 1. 60
*-
65^3
,-
as:3
</> =
*,'
*-
«*'
A 1 06 6oO
t^L \J\t.\J\J\f
4.IO7 2S7
f-y / •* j /
4203.730
0.044
0.605
0.664
11.28
0.045
0.618
0.677
11.50
0.046
0.633
0.692
"•75
0.047
0.652
0.711
I 2. 08
4209.144
0.045
0.617
0.676
11.49
0.045
0.617
0.676
11.49
0.047
0.676
0-735
12.49
0.047
0.640
0.699
11.88
4216.136
0-043
0.587
0.646
10.98
0.043
0.587
0.646
10.98
0.048
0.652
0.711
12.08
0.045
0.621
0.68o
"•55
4220.509
0.044
0.602
0.661
11.23
0.044
0.600
0.659
11.19
0.047
0.645
0.704
11.96
0.047
0.642
O.7OI
11.91
4232.887
0.045
0.611
0.670
"•38
0.047
0.638
0.697
11.84
0.050
0.669
0.728
12.37
0.049
0.669
0.728
12.37
4257-815
0.048
0.646
0.705
11.98
0.048
0.646
0.705
11.98
0.049
0.659
0.718
12. 2O
0.045
0.636
0-695
11.81
4258.47?
0.046
0.619
0.678
11.52
0.047
0.631
0.690
11.72
0.051
0.684
0-743
12.62
0.050
0.673
0.732
12.44
4265.418
0.046
0.618
0.677
11.50
0.045
0.604
0.663
11.26
0.047
0.629
0.688
11.69
0.051
0.685
0-744
12.64
4266.081
0.048
0.644
0.703
11.94
0.048
0.643
0.702
11.93
0.051
0.687
0.746
12.67
0.048
0.645
0.704
11.96
4268.915
0.048
0.643
0.702
11.93
0.052
0.698
0-757
12.86
0.054
0.719
0.778
13.22
4276.836
0.045
0.602
0.661
11.23
0.046
0.615
0.674
"-45
0.05 T
0.680
0-739
12.56
0.050
0.672
0.731
12.42
4284.838
0.046
0.614
0.673
"•43
0.047
0.626
0.685
11.64
0.052
^694
0-753
12.79
0-053
0.712
0.771
13.10
4287.566
0.047
0.625
0.684
11.62
0.047
0.625
0.684
11.62
0.049
0.656
0-715
12.15
0.052
0.687
0.746
12.67
4288.310
0.047
0.625
0.684
11.62
0.047
0.626
0.685
11.64
O.O49
0-653
0.712
12. IO
0.049
0.656
0.7IS
12.15
4290.377
0.048
0.638
0.697
11.84
0.047
0.625
0.684
11.62
O.048
0.645
0.704
11.96
0.051
0.682
0.741
12.59
4290.542
0.045
0.598
0.657
ii. 16
0.046
0.612
0.671
11.40
0.049
0.650
0.709
I2.O5
0.049
0.650
0.709
12.05
4291.630
0.047
0.624
0.683
1 1. 60
0.046
0.611
0.670
".38
O.O52
0.697
0.756
12.84
0.049
0.650
0.709
12.05
4294.936
0.048
0.637
0.696
11.82
0.046
0.610
0.669
"•37
0.050
0.668
0.727
I2-35
0.048
0.639
0.698
11.86
* Measured by A. on G.
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
43
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS or 1906-1907 — Continued.
Plate to 62. 1907, Feb. 28, gh 15™ G. M. T. Measured by L. on T. Distance from Limb 3.1 mm. Quality, good.
seci)
O 339-1
o-n 264.7
p 21.4
D -7.2
Diameter 173.2 mm
Factor 1.037
51. 5
5J-9
38.1
9-2
1.013
59-5
59-8
30.2
8.4
i. on
67-3
67-S
22.5
7-8
1.009
74-3
74-4
15-6
7-5
i.oog
82.0
82.1
7-9
7-3
1.008
96.0
96.0
-6.0
7-3
1.008
0 =
— 6to
<t> =
?!o
0 =
i$'6
A
V
r + »,
J
A
V
» + »!
&
A
V
» + »,
1
km
km
0
km
km
0
km
km
0
4196.699
0.144
1.905
2.045
14.60
0.138
1.831
I.Q7I
14.13
0.138
1.829
1.965
14.48
4I97-257
0.144
I.905
2.045
14.60
0.139
1.842
1.982
14.21
0.139
1.840
1.976
14.57
4203.730
0.145
1.914
2.054
14.66
0.142
1. 880
2.O2O
14.48
0.142
1-875
2.01 1
1482
4209.144
0.146
1-923
2-063
14.72
0.142
1.877
2.017
14.46
0.142
1.872
2.008
1480
4216.136
0.144
1.891
2.031
14.50
0.141
1.854
1.994
14.29
0.141
I.854
1.990
I4'6?
4220.509
0.147
1.926
2.066
14.74
0.142
1.864
2.OO4
14.36
0.142
1.864
2.000
14-74
4232-887
0.148
I-93I
2.071
14.78
0.144
1.879
2.OI9
14.47
0.144
1.880
2.Ol6
14.86
4257.815
0.150
1.938
2.078
14.83
0.147
1.897
2.037
14.60
0.147
1.900
2.036
15.01
4258.47?
0.146
1.887
2.027
14.47
0.146
1.874
2.OI4
14.44
0.144
1.872
2.008
14.80
4265.418
0.147
1.895
2.035
14.52
0.144
1.869
2.OO9
14.40
0.144
1.867
2.003
14 76
4266.081
0.150
1-933
2.073
14.80
0.144
1.868
2.008
14-39
0.144
1.866
2.OO2
14.76
4268.915
0.147
i.88g
2.029
14.48
0.144
1.867
2.OO7
14-38
0.144
1.865
2.001
14-75
4276.836
0.147
1.887
2.027
14.47
0.145
1.864
2.OO4
14.36
0.145
1.862
1.998
14-73
4284.838
0.148
1.894
2-034
14-52
0.144
1.830
1.970
14.12
0.144
1.845
I.gSl
14.60
4287.566
0.146
1.868
2.008
14-33
0.143
1.825
1.965
14.08
0.143
1.830
1.966
14.47
4288.310
0.150
1.917
2.057
14.68
0.144
1.844
1.984
14.22
0.144
1.842
1.978
14.58
4290.377
0.148
1.890
2.030
14.49
0.143
1.830
1.970
14.12
0.142
1.828
1.964
14.48
4290.542
0.148
1.890
2.030
14.49
0.144
1.842
1.982
14.21
0.144
1.840
1.976
14-57
4291.630
0.146
1.865
2-005
14-31
0.145
1.853
1-993
14.28
0.145
1.851
1.987
14.65
4294.936
0.148
1.887
2.027
14.47
0.145
1.859
1.999
14.33
0.145
1.857
1-993
14.69
<t> =
2*
<t> =
30^2
0 =
38*1
4196.699
0.124
1.644
1-775
13.64
0.115
i-Si?
1.641
13.48
0.105
1.396
•S09
13.61
4197-257
0.123
1.628
1-759
13-52
0.116
1.529
1-653
13.58
0.105
1.396
•509
13.61
4203.730
0.126
1.664
J-795
13-79
0.118
1.548
1.672
13-73
0.107
I.4I5
-528
13-79
4209.144
0.127
1-673
1.804
13.86
0.118
1-547
1.671
13.73
0.107
I-4I3
-526
13-77
4216.136
0.125
1.645
1.776
13.65
0.116
1-527
1.651
13.55
0.106
1-399
•512
13.64
4220.509
0.126
1-655
1.786
13-72
0.118
1-544
1.668
13.70
0.107
1.409
.522
13-73
4232.887
0.128
1.672
1.803
13.85
0.118
1-543
1.667
13.69
0.106
i-39'
•504
13-57
4257-815
0.131
1.694
1.825
14.02
O.I 2O
1-554
1.678
13-78
O.IIO
1.428
•541
13.90
4258.477
0.130
1.681
1. 812
13-92
0.119
I-54I
1-665
13-68
0.108
1.402
•5iS
13-67
4265.418
0.128
1.650
1.781
13.69
0.118
1.521
1.645
13.51
0.108
1.400
I-SI3
13-65
4266.081
0.130
1.676
1.807
13.89
O.I 2O
1-549
1-673
13.74
O.IIO
1.424
1-537
13-87
4268.915
0.130
1-675
i. 806
13-88
0.118
1-518
1.642
13.49
0.108
1.389
1.502
13-55
4276.836
0.129
1.656
1.787
I3-7V
0.118
1-518
1.642
13.49
0.108
1.389
.502
13-55
4284.838
0.131
1.678
1.809
i .90
0.116
1.490
1.614
13.26
0.107
1-378
.491
13-45
4287.566
0.130
1.662
1-793
13-78
0.117
1.501
1.625
13.35
0.108
1-388
.501
13-54
4288.310
0.129
1.649
1.780
13-68
0.122
1.560
1.684
13.83
0.108
1.388
.501
13-54
4290.377
0.130
i. 660
1.791
I3-76
O.II8
1.511
1-635
13-43
0.107
1-375
.488
I3-42
4290.542
0.127
1.623
J-754
13-48
O.I 2O
1-535
1.659
13-63
0.108
1-387
.500
13-53
4291.630
0.128
1-634
1-765
I3-S6
O.I 20
1-534
1-658
13.62
0.109
1-397
.510
13.62
4294.936
0.128
1-633
1.764
13-56
O.I 2O
1-533
1-657
13.61
O.IIO
1.409
.522
'3.73
44 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — -Continued.
Plate w 63. 1907, Feb. 28, 9h 45"™ G. M. T. Measured by L. on T. Distance from Limb 3.1 mm. Quality, good.
t-P
secy
Q 339.1
45-8
46.2
43-8
IO.O
1.016
O-n 264.7
38.8
39-3
S°-7
"•5
i. 02 1
p 21.4
54-6
54-9
3S-I
8.8
I.OI2
D -7.2
61.6
61.8
28.2
8.2
I.OIO
Diameter 173.2 mm
69-3
69.4
20.6
7-7
1.009
Factor 1.037
82.8
82.8
7.2
7-3
1.008
<t> =
?:*
0 =
2O?6
0 =
aSta
X
A
V
v + vl
e
A
»
" + fj
e
A
r
» + »,
{
km
km
0
km
km
0
km
km
.
4196.699
0.143
i-9°5
2.045
14-63
0.126
1.668
1.801
13.66
0.114
.510
1.636
13.18
4197-257
0.144
1.918
2.058
14-73
0.128
1.694
1.827
13.86
0.116
•536
1.662
13.39
4203.730
0.147
•953
2.093
14.98
O.I 2O
1. 600
1-733
13.14
0.118
.560
1.686
13.58
4209.144
0.142
.885
2.025
14.49
0.129
1.700
1-833
13.90
o.i 19
•570
1.696
13.66
4216.136
0.144
•9°5
2.045
14.63
0.130
1.708
1.841
13.96
0.118
•553
1.679
13.53
4220.509
0.144
.902
2.042
14.61
0.132
•730
1-863
14.13
O.I 2O
•575
1.701
13.70
4232.887
0.146
.920
2.060
14.74
0.133
.736
1.869
14.18
O.I 2O
•569
1-695
13-65
4257-815
0.150
•953
2.093
14.98
0.133
.719
1.852
14.05
O.I 2O
•555
i. 68 1
13.54
4258.477
0.148
.927
2.067
14.79
0-133
.719
1.852
14.05
0.118
•526
1.652
13-31
4265.418
0.147
.896
2.036
14.57
0.132
.702
1.835
13.92
0.118
•524
1.650
13.29
4266.081
0.150
•947
2.087
14-93
0-133
•715
1.848
14.02
0.124
.602
1.728
13.92
4268.915
0.146
.894
2.034
14.55
0.134
.725
1.858
14.09
0.120
•545
1.671
13.46
4276.836
0.147
.901
2.041
14.61
0-133
1.708
1.841
13.96
O.I 2O
•542
1.668
13.44
4284.838
0.149
.921
2.001
14-75
0.134
1.716
1.849
14.02
0.123
•579
1-705
13.73
4287.566
0.148
.906
2.046
14.64
0.136
1.738
1.871
14.19
O.I2I
•549
1-675
13.49
4288.310
0.146
.881
2.O2I
14.46
0.134
I.7I3
1.846
14.00
0.124
.588
1.714
13.81
4290.377
0.147
.892
2.032
14-54
0.134
1.712
1.845
13.99
O.IlS
.510
1.636
13.18
4290.542
0.148
•9°3
2.043
14.62
0.135
1.724
1.857
14.08
O.I 2O
1-535
1.661
13.38
4291.630
0.148
1.902
2.O42
14.61
0.134
1.7X1
1.844
13.99
0.119
1.522
1.648
13.28
4294.936
0.148
1.901
2.O4I
14.61
0.132
1.685
1.818
13.79
0.118
1.508
1.634
13.16
0 =
35!i
0 =
sot?
0 =
43:«
4196.699
0.105
1.396
•513
13-13
0.068
0.912
1.002
11.23
0.086
1.150
1.254
12.33
4197.257
o.i 06
1.409
.526
13-25
0.069
0.924
I.OI4
11.36
0.088
1.174
1.278
12.57
4203.730
0.108
i-43i
•548
13-44
0.072
0.962
1.052
11.79
0.090
•199
•303
12.82
4209.144
0.108
1.428
•545
13.40
0.071
0.948
1.038
11.63
0.089
.181
.285
12.64
4216.136
o.i 06
1-399
.516
13.16
0.071
0.945
•035
1 1. 60
0.087
•152
.256
12.35
4220.509
O.IIO
1-447
.564
13-57
0.073
0.971
.061
11.89
0.090
.188
.292
12.71
4232.887
0.108
1.412
•529
13-27
0.071
0-939
.029
"•53
0.090
.183
.287
12.66
4257.815
O.I II
1.440
•557
13-51
0.076
O.Q95
.085
12.16
0.094
.224
.328
13.06
4258.477
0.108
1-399
.516
13.16
0.075
0.982
.072
12. 02
0.090
.172
.276
12.55
4265.418
0.107
1-385
1.502
13-03
0.075
0.982
.072
I 2. 02
0.089
•157
.261
12.40
4266.081
O.II2
1.449
1.566
13-59
0-075
0.984
.074
I2.O4
0.092
.194
.298
12.77
4268.915
O.IIO
1.422
1-539
13-36
0.076
0.989
.079
12.09
0.091
.180
.284
12.63
4276.836
0.108
1-394
1.511
13.11
0.076
0.988
.078
I 2.08
0.090
.165
.269
12.48
4284.838
O.IIO
I.4I5
1-532
13.29
0.078
I.OI2
.IO2
12-35
0.092
.186
.290
12.69
4287.566
O.IIO
I-4I3
1-53°
13.28
0.074
0-959
.049
11.76
0.092
.185
1.289
12.68
4288.310
O.I 12
1-437
1-554
13.48
0.074
0.958
.048
"•75
0.090
.160
1.264
12.43
4290.377
0.108
1-387
1.504
13-05
0.076
0.983
•073
12.03
0.091
.171
1-275
12.54
4290.542
O.III
1.424
I-54I
13-37
0.074
9-957
•047
11.74
0.093
.196
1.300
12.79
4291.630
O.I 1 2
1-435
1-552
13-47
0.076
0.982
.072
12.02
0.092
.182
1.286
12.65
4294.936
O.II2
1-434
I-55I
13-46
0.077
0-995
.085
12. l6
0.092
.182
1.286
12.65
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate o> 55. 1907, Feb. 15, sh 40'" G. M. T. Measured by L. on T. Distance from Limb 3.4 mm. Quality, good.
p— P T (j> i) seci;
45
G 325.9
O-fi 251.5
P 17.5
Si-4
67.4
82.4
Si-7
67.6
82.5
38.3
22.4
7-5
8.8
7-4
6.9
I.OI2
1.008
1.007
D -6.9
Diameter 174.0 mm
Factor 1.041
X
0 = 7°.S
<t> = «?4
* = 3&°.3
A
fl
» + "l
«
A
V
» + »!
£
A
V
» + »!
{
km
km
O
km
km
0
km
km
9
4196.699
0.142
1.884
2.025
14.50
0.129
1.711
1.845
14.16
0.098
1.304
1.419
12.84
4197-257
0.142
1.884
2.025
14-50
0.129
1.711
1-845
14.16
0.097
1.292
1.407
12.73
4203.730
0.146
1.924
2.065
14.79
0.130
1.721
1-855
14-23
0.102
1-354
1.469
13.29
4209.144
0.147
1.936
2.077
14.87
0.131
1-730
1.864
14-30
0.103
1.364
1-479
I3-38
4216.136
0-145
1.910
2.051
14.69
0.129
1.699
1.833
14.07
0.099
I-3I4
1.429
12.93
4220.509
0.146
1.918
2.059
14-74
0.131
I-723
1-857
14-25
0.103
1.361
1.476
13-35
4232.887
0.147
1.924
2.065
M-79
0.132
1.728
1.862
14.28
0.104
1.368
1.483
I3-42
4257-815
0.149
1.923
2.064
14.78
0.135
1.741
1-875
14-39
0.106
1-378
1-493
I3-5I
4258.477
0.146
1.898
2.039
14.60
0.131
1.696
1.830
14.04
0.105
'•365
1.480
13-39
4265.418
0.148
1.919
2.060
14-75
0.131
1.695
1.829
14-03
0.104
J-352
1.467
I3-27
4266.081
0.151
1-953
2.094
14.99
0.135
1.738
1.872
14-37
0.108
1-395
1.510
13.66
4268.915
0.149
1.918
2.059
14.74
0.134
I-725
1.859
14.27
0.104
1-347
1.462
I3-23
4276.836
0.148
1.903
2.044
14.64
0.132
1.700
1.834
14.07
0.103
1-334
1.449
13.11
4284.838
0.149
i-9i3
2-054
14.71
0.134
1.722
1.856
14.24
0.104
1-342
1-457
13-18
4287.566
0.147
1.885
2.026
I4-5I
0.133
1.709
1-843
14.14
0.104
i-34i
I-456
I3-I7
4288.310
0.149
1.910
2.051
14.69
0.133
1.708
1.842
14-13
0.106
1-365
1.480
13-39
4290-377
0.146
1.871
2.OI2
14.41
0.133
1.707
1.841
14-13
0.105
1-352
1.467
I3-27
4290.542
0.148
1.896
2.037
14-59
0.134
I-7I5
1.849
14-19
O.IO2
I.3IS
1.430
12.94
4291.630
0.148
1.895
2.036
14.58
0-134
1.714
1.848
14.18
0.105
1-350
1.465
13.25
4294.936
0.148
1.894
2.035
14-57
0.131
1.678
1.812
13.90
0.108
1-387
1.502
13-59
Plates <•> 64, w 67, w 68, and a 69. 1907, April 7, w 64, 3h 2om ; u 67, 5h 45m ; w 68, 6h 45™ ; w 69, 7h iom. G. M. T. Measured
by L. on T. Distance from Limb 2.3 mm. Quality, good.
w 64,167
u 68, 69
O
0-0
i6?7
302.3
i6?8
302.4
p
D
26.5
-6.1
p-p
O
10.9
77S
*)
29-5
seci
1.149
Diameter 171.7 mm
Factor 1.027
X
u 64, 0 = 77?s
w 67, 0 = 77?s
<•> 68, <f = 77°5
w <>9, <t> = 7?!s
A
t>
V + "]
£
A
»
V -f- »j
«
A
»
f + »,
i
A
V
»+ »!
f
km
km
.
km
km
0
km
km
0
km
km
0
4196.699
O.O2O
0.298
0-333
10.92
0.018
0.269
0-304
9-97
0.018
0.269
0-304
9-97
O.O2O
0.298
0-333
10.92
4197-257
0.022
0-304
0-339
II. 12
0.020
0.298
0-333
10.92
O.O2O
0.298
0-333
10.92
O.O2O
0.298
0-333
10.92
4203.730
0.023
0.342
0-377
12-37
O.O22
0.327
0.362
11.87
0.022
0.328
0.363
11.91
0.022
0.328
0-363
11.91
4209.144
O.O22
0-303
0-338
II.O9
O.O22
0.327
0.362
11.87
O.O22
0-328
0.363
11.91
O.O2I
0.312
0-347
11.38
4216.136
0.020
0-295
0-330
10.82
O.OI9
0.282
0.317
10.40
O.OI9
0.282
0.317
10.40
O.O2O
0.296
0-33'
10.86
4220.509
O.O22
0.324
0-359
11.78
O.O22
0.325
0.360
11.81
O.O22
0.326
0.361
11.84
0.024
0-355
0-390
12.79
4232.887
O.O22
0.324
0-359
11.78
O.O22
0.324
0-359
11.78
O.O22
0-323
0.358
11.74
O.O24
0-351
0.386
12.66
4257-815
0.024
0-349
0.384
I 2.6O
0.026
0.380
0-415
13-61
O.O26
0-380
0-415
13.61
0.028
0.408
0-443
14-53
4258.477
O.O24
0-349
0.384
I 2. 60
O.022
0.323
0.358
11.74
O.024
0-349
0.384
12.60
O.O24
0-349
0.384
12.60
4265.418
O.O24
0.349
0.384
1 2. 60
0.023
0-335
0.370
12.14
O.O22
0.322
0-357
11.71
O.O22
0-320
0-355
11.64
4266.081
0.025
0-363
0-398
13.06
0.026
0-379
0.414
I3-58
0.025
0.363
0.398
13.06
O.O24
0-349
0.384
12.60
4268.915
0.023
0-334
0.369
12. IO
O.O24
0-347
0.382
12-53
0.023
0-334
0-369
12.10
O.O22
0.320
0.355
11.64
4276.836
O.O22
0.319
0-354
II.6l
O.O24
0-347
0.382
12-53
O.O24
0.348
0-383
12.56
O.O24
0.348
0-383
12.56
4284.838
O.O22
0.319
0-354
11.61
O.O24
0-347
0.382
12-53
O.024
0.348
0.383
12.56
O.O22
0.320
0-355
11.64
4287.566
O.O2I
0-303
0-338
11.09
0.025
0.361
0.396
12-99
O.O22
0.317
0-352
"•55
O.O24
0-347
0.382
12.53
4288.310
O.O22
0.318
0-353
11.58
O.O24
0-347
0.382
12.53
0.023
0.332
0.367
12.04
O.O24
0-347
0-382
12.53
4290.377
0.025
0.361
0.396
12.99
O.O22
0.3I7
0.352
ii-SS
0.024
0-347
0.382
12-53
O.022
0.319
0-354
11.61
4290.542
0.023
0.332
0.367
12.04
0.023
0.332
0.367
12.04
O.O26
0-374
0.409
13-42
O.O24
0.346
0.381
12.50
4291.630
0.025
0.360
0-395
12.96
O.O28
0.404
0-439
14.40
O.O25
0.360
0-395
12.96
O.O24
0.346
0.381
12.50
4294.936
O.O22
0.317
0.352
ii-SS
0.024
0.346
0.381
12.50
0.024
0.346
0.381
12.50
0.023
0-332
0.367
12.04
46 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate u> 81. 1907, April 22, 8h 2om G. M. T. <t> = 79!$, measured by A. on T. <t> = 67^2 and 72°$ measured by L. on T. Distance
from Limb i.i mm. Quality, good.
P-P
sec i?
3I.S
G-0 317.1
P 25.7
D -4.9
Diameter 169.3 mm
Factor 1.013
9.3 10.5 79.5 28.1 1.134
16. 8 17.5 72.5 16.6 1.044
22.3 22.8 67.2 12.8 1.026
X
, = 6*
* = 67!,
*-7*
A
V
' + »'
1
A
t)
'+''
1
A
V
' + ''
i
km
km
0
km
km
•
km
km
o
4196.699
0.042
0-553
0.617
11.30
0.041
0.541
0.605
11.08
0.032
0.429
0.480
"•33
4197-257
0.042
0-553
0.617
11.30
0.042
0-553
0.617
11.30
0.033
0.441
0.492
11.62
4203.730
0-043
0.564
0.628
11.51
0.044
0-577
0.641
11.74
0.034
0-454
0.505
11.92
4209.144
0.045
0.588
0.652
"•95
0.045
0.588
0.652
"•95
0.034
0-453
0.504
11.90
4216.136
0.044
0-575
0.639
11.71
0.040
0-523
0.587
10.75
0.033
0-439
0.490
"•57
4220.509
0.044
0.572
0.636
11.65
0.044
0-574
0.638
11.69
0.034
0.451
0.502
11.85
4232.887
0.046
0.596
0.66o
12.09
0.048
0.617
0.681
12.48
0.035
0-459
0.510
12.04
4257-815
0.049
0.628
0.692
12.68
0.048
0.615
0.679
12.44
0.036
0.470
0.521
12.30
4258.477
0.048
0.615
0.679
12.44
0.045
0-577
0.641
11.74
0.034
0-444
0-495
11.69
4265. 4X8
0.046
0.590
0.654
11.98
0.046
0.590
0.654
11.98
0.034
0.444
0-495
11.69
4266.081
0.050
0.638
0.702
12.86
0.048
0.613
0.677
12.40
0.037
0.482
0-533
12.58
4268.915
0.047
0.600
0.664
12. l6
0.046
0.587
0.651
"•93
0.033
0.430
0.481
11.36
4276.836
0.048
0.613
0.677
12.40
0.045
0-575
0.639
11.71
0.036
0.465
0.516
12. 18
4284.838
0.044
0-559
0.623
11.41
0.047
0.598
0.662
12.13
0.034
0.440
0.591
"•59
4287.566
0.048
0.610
0.674
12-35
0.048
0.611
0.675
12.37
0.036
0.465
0.516
12.18
4288.310
0.048
0.610
0-674
12-35
0.046
0.584
0.648
11.87
0.034
0.440
0.491
ii-S9
4290.377
0.047
0.598
0.662
12.13
0.045
0-573
0-637
11.67
0-035
0.452
0-503
u.88
4290.542
0.045
0.572
0.636
11.65
0.047
0-597
0.66 1
12. II
0.034
0-439
0.490
ii-57
4291.630
0.047
0-597
0.661
12. II
0.047
0-597
0.661
12.11
0.034
0-439
0.490
ii-57
4294.936
0.048
0.609
0.673
12-33
0.048
0.609
0.673
12.33
0.036
0.464
0.515
12. 16
*-rfS
0 = 79°.S
<t> = 79tS
'4196.699
0.032
0.428
0.479
11.31
0.019
0.277
0.311
12.12
0.019
0.281
0-315
12.27
4I97-257
0.031
0.416
0.467
11.03
0.019
0.278
0.312
12.15
0.019
0.278
0.312
12.15
4203.730
0.034
0-454
0.505
11.92
0.020
0.282
0.316
12.31
O.O2O
0.293
0.327
12.74
4209.144
0.034
0-453
0.504
11.90
O.Oig
0.279
0-313
12.19
O.OI9
0.281
0-315
12.27
4216.136
0.032
0.425
0.476
11.24
O.OI9
0.280
0-314
12.23
0.020
0.281
0.315
12.27
4220.509
0.034
0-452
0.503
u.88
O.O2O
0.293
0.327
12.74
0.02O
0.282
0.316
12.31
4232-887
0.033
0.436
0-487
11.50
0.020
0.282
0.316
12.31
O.OI9
0.276
0.310
I 2. 08
4257-8I5
0.036
0.470
0.521
12.30
O.O2I
0-293
0.327
12-74
O.O2I
0.294
0.328
12.78
4258.477
0.034
0-443
0-494
11.66
O.O2I
0-293
0.327
12.74
0.020
0.286
0.320
12.47
4265.418
0.034
0-443
0.494
11.66
O.O20
0.279
0-313
12.19
O.O2O
0.276
0.310
I 2. 08
4266.081
0.036
0.470
0.521
12.30
0.020
0.284
0.318
12.39
O.O2O
0.284
0.318
12.39
4268.915
0.034
0.442
0-493
11.64
O.O2O
0.280
0.314
12.23
O.O2O
0.282
0.316
12.31
4276.836
0.034
0.441
0.492
11.62
O.O2O
0.282
0.316
12.31
0.020
0.278
0.312
12.15
4284.838
0.033
0.427
0.478
11.29
0.019
0.272
0.306
11.92
O.O2O
0.278
0.312
12.15
4287.566
0.034
0.440
0.491
"•59
O.O2O
0.277
0.311
12.12
O.O2O
0.285
0.319
12.43
4288.310
0.035
0-453
0.504
11.90
O.OI9
0.272
0.306
11.92
0.020
0.279
0-313
12.19
4290.377
0.035
0.452
0.503
u.88
O.OI9
0.272
0.306
11.92
0.019
0.272
0.306
11.92
4290.542
0.036
0.464
0.515
12. l6
0.020
0.280
0.314
12.23
O.Oig
0.266
0.300
11.69
4291.630
0.035
0-453
0-504
11.90
O.O2O
0.282
0.316
12.31
0.02O
0.274
0.308
I2.OO
4294.936
0.036
0.464
0-515
12. l6
O.O2O
0.282
0.316
12.31
0.020
0.277
0.311
12.12
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
47
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OP 1906-1907 — Continued.
Plate a 83. 1907, May 10, ioh 15"" G. M. T. Measured by A. on G. Distance from Limb i.i mm. Quality, good.
0 49.!
0-n -25.3
P 22.4
D -3.0
Diameter 168.2 mm
Factor 1.013
io-4 io.8 79-2 IO-7
15.4 15.6 74.4 11.6
26.4 26.5 63.5 6.9
seer;
1.044
1. 02 1
1.007
<t> = 63!$
<t> = fists
<t> = 74?4
.
A
r
f + fj
1
A
V
S + JIj
J
A
V
v + vl
£
km
km
0
km
km
O
km
km
•
4196.699
0.048
0.624
0.697
11.09
0.049
0.636
0.709
11.28
0.030
0-393
0-443
11.70
4197-257
0.050
0.651
0-724
11.52
0.048
0.623
0.696
11.07
0-030
0.388
0.438
11.56
4203.730 0.049
0.630
0.703
11.19
0.051
0.658
0-731
11.63
0.029
0.382
0-432
11.40
4209.144 0.049
0.628
0.701
11.15
0.052
0.665
0.738
11-74
0-030
0-386
0.436
11.51
4216.136 0.050
0-637
0.710
11.30
0.048
0.622
0.695
1 1. 06
0.030
0.390
0.440
11.62
4220.509 0.049
0.631
0.704
II. 21
0.052
0.667
0.740
11.77
0.029
0.380
0.430
n-35
4232.887 0.048
0.618
0.691
10.99
0-051
0.656
0.729
1 1. 60
0.030
0-393
0-443
11.69
4257.815
0.050
0.636
0.709
11.28
0-053
0.669
0.742
11.81
0.030
0.384
0-434
11.46
4258.477
0.050
0.634
0.707
11.25
0-052
0-655
0.728
11.58
0.030
0-379
0.429
11.32
4265.418
0.050
0.629
0.702
11.17
0.050
0-634
0.707
11.25
0.031
0.390
0.440
11.62
4266.081
0.050
0.627
0.700
11.14
0.050
0.627
0.700
11.14
0.032
0.409
0-459
12.12
4268.915
0.051
0.641
0.714
11.36
0-051
0.646
0.719
11.44
0.029
0.370
0.420
11.09
4276.836
0.049
0.612
0.685
10.90
0.054
0.677
0.750
11-93
0.029
0-371
0.421
II. 12
4284.838
0.049
0.610
0.683
10.87
0.051
0-635
0.708
11.26
0.030
0.380
0.430
"•35
4287.566
0.049
0.617
0.690
10.98
0.050
0.629
0.702
11.17
0.031
0-394
0-444
11.72
4288.310
0.050
0.629
0.702
11.17
0.051
0.639
0.712
"•33
0.031
0-394
0.444
11.72
4290.377
0.050
0.623
0.696
II.O7
0.052
0.650
0.723
11.50
0.028
0-354
0-434
11.46
4290.542
0.050
0.623
0.696
11.07
0.052
0.648
0.721
11.47
0.031
0-387
0-437
"•54
4291.630
0.050
0.623
0.696
11.07
0-052
0-653
0.726
"•55
0.030 0.384
0-434
11.46
4294.936
0.049
0.613
0.686
10.92
0.052
0.647
0.720
11.46
0.030
0-383
0-433
"•43
</> = 74!4
<t> = 7?!*
<f> = 79*2
4196.699
0.031
0.404
0-454
11.99
0.019
0.252
0-293
II. IO
0.019
0-255
0.296
II. 21
4197-257
0.032
0.424
0.474
12.51
0.019
0.257
0.298
11.29
0.018
0.247
0.288
10.91
4203.730
0.032
0.418
0.468
12.36
0.020
0.268
0.309
11.71
0.020
0-273
0.314
11.90
4209.144
0.032
0.418
0.468
12.36
O.O2O
0.267
0.308
11.67
O.O2O
0.270
0.311
11.78
4216.136
0.031
0.401
0.451
11.91
O.O2O
0.272
0.313
11.86
O.OI9
0.248
0.289
10.95
4220.509
0.033
0.429
0.479
12.65
O.O2O
0.260
0.301
11.40
0.020
0.271
0.312
11.82
4232.887
0.032
0.409
0-459
12.12
0.020
0.270
0.311
11.78
0.020
0.261
0.302
II-44
4257-815
0.034
0-435
0.485
12. 80
O.O2O
0.261
0-302
11.44
O.O2O
0.256
0.297
11.25
4258.477
0.034
0.430
0.480
12.67
O.OI9
0.251
0.292
1 1. 06
O.Oig
0.246
0.287
10.87
4265.418
0.034
0.432
0.482
12.72
0.020
0.267
0.308
11.67
0.020
0.256
0.297
11.25
4266.081
0.032
0.432
0.482
12.72
O.O2I
0-274
0.3IS
n-93
O.O2O
0.261
0-302
11.44
4268.915
0.032
0.411
0.461
12.17
O.O2O
0.266
0.307
11.63
O.OI9
0.246
0.287
10.87
4276.836
0.032
0.404
0-454
11.98
0.020
0.262
0.303
11.48
0.020
0.264
0-305
11.56
4284.838
0.033
0.413
0.463
12.22
O.O2O
0.259
0.300
n-37
O.O2O
0.256
0.297
11.25
4287.566
0.032
0.405
0-455
12. OI
O.O2I
0.269
0.310
"•75
O.O2O
0-254
0-295
II. 18
4288.310
0.031
0.389
0-439
11-59
0.020
0.261
0.302
"•44
0.020
0.261
0-302
11.44
4290.377
0032
0-395
0-445
11-75
O.OlS
0.233
0.274
10.38
O.O2O
0.258
0.299
"•33
4290.542
0-033
0.412
0.462
12. 2O
O.OI9
0.248
0.289
10.95
O.O2O
0.258
0.299
"•33
4291.630
0.034
0.432
0.482
12.72
O.O2I
0.269
0.310
ii-75
0.020
0.258
0.299
"•33
4294.936
0.032
0-399
0-449
11.85
0.020
0-253
0.294
11.14
O.O2I
0.273
0.314
11.90
|
48 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate w 85. 1907, May 30, I2h sm G. M. T. Measured by A. on T. Distance from Limb i.o mm. Quality, good.
P-P
secy
o
68.4
10.
,2
IO.2
79-8
4.2
1.003
O-fl
-6.0
15
2
15-2
74-8
2.8
I.OOI
p
16.3
26
,2
26.2
63.8
1.7
I.OOO
D
-0.7
Diameter
167.9 mm
Factor
1. 01 2
4- •= 63°$
<t> = 63!8
0 = 74!8
A
t)
r + »,
J
A
•e
» + »!
{
A
»
» + »!
£
km
km
0
km
km
.
km
km
0
4196.699
0.054
0.692
0.760
12.22
0-055
0.704
0.772
12.41
0.032
0.410
0.461
12.48
4197-257
0.054
0.692
0.760
12.22
0-055
0.704
0.772
12.41
0.032
0.410
0.461
12.48
4203.730
o-oSS
0.703
0.771
12.40
0.058
0.741
0.809
13.01
0.034
0-434
0-485
13-13
4209.144
0.058
0.740
0.808
12.99
0.056
0.714
0.782
12-57
0.034
0-433
0.484
13.11
4216.136
0.056
0.712
0.780
12-54
0-055
0.699
0.767
12.33
0.034
0.432
0.483
13.08
4220.509
0.056
0.711
0-779
12.52
0.058
Q-737
0.805
12.95
0.034
0.432
0.483
13.08
4232.887
0.058
0-734
0.802
I2.9O
0.058
o-734
0.802
12.90
0.033
0.419
0.470
12-73
4257-815
0.058
0.727
0-795
12.78
0.058
0.727
0-795
12.78
0-033
0.413
0.464
12.56
4258.477
0.056
0.702
0.770
12.38
0-057
0-713
0.781
12.56
0.034
0.426
0-477
12.92
4265.418
0.058
0-725
0-793
12.75
0.060
0.749
0.817
13-14
0-035
0.438
0.489
13-24
4266.081
0.058
0.724
0.792
12.74
0.058
0.724
0.792
12.73
0.036
0.450
0.501
13-57
4268.915
0-057
0.710
0.778
12.51
0.059
0.736
0.804
12.93
0.033
0.412
0.463
12.54
4276.836
0.059
0-734
0.802
12.90
0.060
0.736
0.804
12.93
0-033
0.410
0.461
12.48
4284.838
0.059
0.732
0.800
12.86
0.060
0-744
0.812
13.06
0-035
0-434
0.485
13-13
4287.566
0.057
0.706
0-774
12.45
0.059
0-731
0.799
12.85
0-035
0-433
0.484
13.10
4288.310
0.057
0.706
0-774
12.45
0.060
0-743
0.811
13-04
0.032
0.396
0.447
12. IO
4290.377
0.056
0.693
0.761
12.24
0.058
0.718
0.786
12.64
0-034
0.421
0.472
12.78
4290.542
0-057
0.705
0-773
12.43
0.058
0.718
0.786
12.64
0.033
0.408
0-459
12-43
4291.630
0.058
0.717
0-785
12.62
0.058
0.704
0.772
12.41
0.034
0.420
0.471
12.75
4294.936
0-058
0.717
0-785
12.62
0.058
0.717
0.785
12.62
0.034
0.420
0.471
12-75
0 = 74?8
0 = 79!8
0 = 79:8
4196.699
0.032
0.410
0.461
12.48
0.019
0.247
0.287
11.51
0.018
0.236
0.276
1 1. 06
4197-257
0.029
0.372
0.423
"•45
0.019
0.242
0.282
11.31
0.018
0.231
0.271
10.86
4203.730
0.031
0-397
0.448
12.13
O.O2O
0.257
0.297
11.91
0.019
0-247
0.287
11.51
4209.144
0.031
0.396
0.447
12.10
O.O2O
0.256
0.296
11.87
0.020
0.256
0.296
11.87
4216.136
0.030
0-382
0-433
11.72
0.019
0-238
0.278
11.15
O.OlS
0.234
0.274
10.98
4220.509
0.034
0.432
0.483
13.08
O.O2O
0-255
0.295
11.83
O.O2I
0.265
0-305
12.23
4232-887
0.032
0.405
0.456
12-34
O.O2O
0.249
0.289
"•59
O.O2I
0.264
0.304
12.19
4257-815
0.034
0.426
0.487
I3-I9
0.021
0.259
0.299
11.99
O.O2O
0.251
0.291
11.67
4258.477
0.031
0.389
0.440
11.91
0.020
0-254
0.294
11.79
0.021
0.266
0.306
12.27
4265.418
0.032
0.400
0.451
12.21
O.O2O
0.246
0.286
11.47
O.Oig
0-243
0.283
"•35
4266.081
0.034
0.424
0-475
12.87
O.O2O
0.271
0.311
12-47
O.O2O
0.246
0.286
"-47
4268.915
0.032
0-399
0.450
12.19
0.021
0.265
0-305
12.23
O.O2O
0-255
0.295
11.83
4276.836
0-035
0-435
0.486
13.16
O.O2O
0.254
0.294
11.79
0.019
0.240
0.280
11.23
4284.838
0.032
0-397
0.448
12.13
O.O2O
0.249
0.289
"•59
O.O2O
0.244
0.284
"•39
4287.566
0.034
0.421
0.472
12.78
O.O2O
0.248
0.288
"-5S
O.O2O
0.244
0.284
"•39
4288.310
0.036
0-445
0.496
13-43
0.020
0.248
0.288
"•55
0.020
0.246
0.286
11.47
4290.377
0-035
0-433
0.484
13.10
O.O2O
0.243
0.283
"•35
O.O2O
0.248
0.288
"•55
4290.542
0.036
0-445
0-495
I3-40
O.O2O
0-253
0-293
"•75
O.O2O
0.251
0.291
11.67
4291.630
0-035
0-433
0.484
13.10
O.Oig
0.241
0.281
11.27
0.020
0.248
0.288
"•55
4294.936
0.034
0.420
0.471
12-75
0.020
0.243
0.283
"•35
0.021
0.262
0.302
12. II
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
49
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate w 85 — Continued. 1907, May 30, 12" 5™ G. M. T. Measured by L. on T. Distance from Limb i.o mm. Quality, good.
p— P ir <t> n secy
2.°8
O 68.4
O-O -6.0
P 16.3
15.2
26.2
15-2
26.2
74.8
63.8
I.OOI
I.OOO
D -0.7
Diameter 167.9 mm
Factor 1.012
\
0 = 63?8
<t> = 63°8
0 - 74!8
0 = 74?8
A
»
v + vl
£
A
V
«" + »!
£
A
»
V + »!
?
A
D
f + fj
1
km
km
0
km
km
•
km
km
0
km
km
•
4196.699
0.049
0.627
0.695
ii. 18
0.048
0.613
0.68 1
10.95
0.030
0.385
0.436
11.81
0.029
0-371
0.422
"•43
4197-257
0.049
0.640
0.708
11.38
0.048
0.613
0.681
10.95
0.031
0-397
0.448
12.13
0.029
0.371
0.422
n-43
4203.730
0.050
0.637
0.704
"•34
0.052
0.664
0.732
11.77
0.032
0.406
0-457
12.37
0.030
0.384
0-435
11.78
4209.144
0.052
0.662
0.730
11.74
0.052
0.661
0.729
11.72
0.032
0-405
0.456
12.35
0.031
0-395
0.446
12.08
4216.136
0.051
0.647
0.715
11.50
0.050
0.634
0.702
11.27
0.030
0.382
0-433
11.72
0.030
0.382
0-433
11.72
4220.509
0-053
0.672
0-740
11.90
0.052
0.659
0.727
11.69
0.033
0.417
0.468
12.67
0.032
0.405
0.456
12-35
4232-887
0-053
0.669
0-737
11.85
0-053
0.661
0-737
11.85
0-033
0.417
0.468
12.67
0.032
0.405
0.456
12-35
4257-815
0-055
0.685
0-753
12. II
0-055
0.689
0-757
12.17
0.036
0.449
0.500
13-54
0.034
0-425
0.476
12.89
4258.477
0.053
0-659
0.727
11.69
0-053
0.661
0.729
11.72
0.034
0.423
0-474
12.83
0.033
0.387
0.438
11.86
4265.418
0.054
0.670
0.738
11.87
0.051
0.636
0.704
11-32
0.032
0-399
0.450
12.18
0-033
0-387
0.438
11.86
4266.081
0-055
0.683
0-751
I 2. 08
0.054
0.672
0.740
11.90
0-035
0-435
0.486
13.16
0.036
0.448
0-499
i3-5i
4268.915
0-054
0.670
0.738
11.87
0.054
0.670
0.738
11.87
0.032
0.398
0.449
12. l6
0.034
0.423
0-474
12.83
4276.836
0.054
0.670
0.738
11.87
0.051
0-633
0.701
11.27
0.033
0.410
0.461
12.48
0.031
0.386
0-437
11.83
4284.838
0-053
0.656
0.724
11.64
0-053
0-655
0.723
11.63
0-033
0.409
0.460
12.45
0.034
0.421
0-472
12.78
4287.566
0-053
0.655
0.723
11.63
0-054
0.667
0-735
11.82
0.032
0.396
0.447
12. IO
0-033
0.409
0.460
12.46
4288.310
0-053
0.655
0.723
11.63
0-053
0-655
0-723
11.63
0-033
0.408
0-459
12-43
0.034
0.421
0.472
12.78
4290.377
0.056
0.692
0.760
12.22
0.052
0-643
0.711
"•43
0.034
0.420
0.471
12.75
0.032
0.396
0-447
12. IO
4290.542
0-055
0.680
0.748
12.03
0.054
0.667
0-735
11.82
0-033
0.408
0-459
12.43
0.034
0.420
0.471
12-75
4291.630
0.054
0.667
0-735
11.82
0.054
0.667
0-735
11.82
0.036
0.444
0-495
13.40
0.034
0.420
0.471
12.75
4294.936
0.052
0.642
0.710
11.42
0-053
0.654
0.722
ii. 61
0.034
0.420
0.471
12-75
0.033
0.408
0-459
12.43
Plate w 91. 1907, June 23, 5'' 55"" G. M. T. Measured by L. on T. Distance from Limb 1.2 mm. Quality, good.
p — P it <f> i)
Q
Q-ii
P
D
91.1
16.7
6.4
2.1
37-0
52-7
68.2
83.2
37-o
52-7
68.2
83-2
53-o
37-3
21.8
6.8
3-4
2.6
2.2
2.1
I.OO2
I.OOI
I.OOI
I.OOI
Diameter 168.1 mm
Factor 1.014
<t> =
6?8
0 =
2I?8
0 =
31°3
0 =
S3?o
A
V
D + Tj
(
A
V
r + r,
£
A
tl
» + »!
£
A
V
» + »!
£
km
km
0
km
km
o
km
km
0
km
km
0
4196.699
0.148
1.901
2-035
14-55
0.130
.669
.798
13-76
0.102
1.312
1.429
12.75
0.076
0.978
1.071
12.63
4197-257
0.148
I.OOO
2.034
14-55
0.130
.669
•798
13-76
O.IO2
1.311
1.428
12.74
0.076
0-977
1.070
12.62
4203.730
0.150
1.919
2.053
14.68
0.132
.691
.820
13-93
O.IO4
I-33J
1.448
12.92
0.077
0.987
1.080
12.74
4209.144
0.150
1.917
2.051
14.67
0.132
.688
.817
13-91
O.IO4
1.328
r-445
12.89
0.078
i.ooo
1.093
12.89
4216.136
0.149
1.900
2.034
14-55
0.130
•658
.787
13-67
O.IO4
1-325
1.442
12.87
0.078
0-997
.090
12.86
4220.509
0.150
1.906
2.040
14-59
0.132
.678
.807
13-83
O.IO4
1-325
1.442
12.87
0.078
0-995
.088
12.83
4232.887
0.150
I.OOI
2-035
H-55
0.132
•673
.802
'3-79
0.105
1-332
1.449
12.93
0.078
0.990
•083
12.78
4257-815
0.152
1.909
2.043
14.61
0-135
.691
.820
13-93
0.107
1-344
1.461
13-04
0.080
1.005
.098
12.95
4258.477
0.152
1.907
2.041
14.60
0-133
.667
.796
13-74
0.106
1-330
1.447
12.91
0.078
0.980
•073
12.66
4265.418
0.152
1.905
2-039
14.58
0-133
-665
• 794
13-73
O.IO7
1-340
1-457
13.00
0.079
0.991
.084
12.79
4266.081
0.153
1.914
2.048
14.65
0.134
.677
.806
13.82
O.IOS
1-352
1.469
13.11
0.080
1.002
•095
12.92
4268.915
0.152
1.892
2.026
14.49
0-134
.671
.800
13-77
O.IO7
I-324
1.441
12.86
0.080
I.OOO
•093
12.89
4276.836
0.152
1.891
2.025
14.48
0-134
1.668
•797
'3-75
O.IO/
1.322
1-439
12.84
0.081
I.OIO
-103
12.89
4284.838
0.152
1.889
2.023
14.46
0.134
1.666
•795
13-74
0.107
I-33I
1.448
12.92
0.080
0-997
.090
12.86
4287.566
0-153
1.902
2.036
I4-56
O.I3S
1.677
.806
13.82
O.IO9
1-354
1.471
13-13
0.079
0-985
.078
12.72
4288.310
0.153
1.899
2.033
14-54
0.135
1.676
•805
13.81
O.IO?
1.328
1-445
12.89
0.081
1.007
.100
12.98
4290.377
0.152
1.885
2.019
14.44
0.134
I-675
.804
13.80
o. 106
1.310
1.427
"•73
0.080
0-995
.088
12.83
4290.542
0-153
1-895
2.029
I4-5I
0.136
1.686
-815
13.89
0.107
1.329
1.446
12.90
0.080
0-993
.086
12.81
4291.630
0.152
1.883
2.017
14.42
0.135
I-673
1.802
13-79
0.108
1.340
1-457
13.00
0.082
1.018
.III
13-"
4294.936
0.153
1.894
2.028
14.50
0.136
1.684
1.813
13-87
. 0.108
1-338
1-455
12.98
0.082
I.OIO
•103
13.01
50 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate w 86. 1907, May 31, 4h $$m G. M. T. Measured by A. on G. Distance from Limb 1.3 mm. Quality, Good.
t>-P
seci
o
69.1
8.9
8.9
81.1
4-4
1.003
0-0
-5-3
13-
9
9
76.1
2.8
I.OOI
p
16.0
25-
9
25'
9
64.1
1.6
I.OOO
D
-0.6
45'
,2
45-
a
44.8
0.9
I.OOO
Diameter
168.5 mm
60
,3
60,
jj
29.8
0.8
I.OOO
Factor
1.016
75'
2
75-
2
14.8
o-7
I.OOO
0 =
Mia
0 =
20
0 =
44t8
X
A
li
. + .,
«
A
V
,-,,
•
A
V
. + .,
«
4196.699
0.143
km
.837
km
1.971
14.47
0.116
km
1-493
km
1.617
13-23
0.095
km
1.225
km
I-33I
O
I3-3I
4197.257
0.142
.826
1.960
14-39
O.I 20
1-544
1.668
13-65
0.092
1.183
1.289
12.89
4203.730
0.142
.827
1.961
14.40
0.119
I-525
1.649
13-48
0.094
1.208
I-3I4
I3-I4
4209.144
0.146
.874
2.008
14-74
0.124
1.582
1.706
13.96
0.098
1.249
•355
13-55
4216.136
0.142
.809
1-943
14.27
0.116
1.481
1.605
13-13
0.096
1.226
•332
I3-32
4220.509
0.146
.861
1-995
14.64
O.I2I
1.546
1.670
13.66
O.IOO
1.269
•375
13-75
4232.887
0.147
1.863
1.997
14.66
0.123
1.564
1.688
13.81
0.091
1.160
.266
12.66
4257.815
0.143
1-793
1.927
14-15
O.I2I
I.527
1.651
13-50
0.096
1.207
•313
13-13
4258.477
0.149
1-873
2.007
14.74
0.125
1.569
1.693
13-85
O.IOO
1.262
.368
13.68
4265.418
0.148
1-855
1.989
14.61
O.I2I
'•SIS
1.639
13-40
0.094
1.176
.282
12.82
4266.081
0.142
1-779
1-913
14.05
0.127
1-590
1.714
14.03
0.092
I-I54
.260
12.60
4268.915
0.146
1.824
1.958
14-38
0.123
1.538
1.662
13.60
0.092
1.162
.268
12.68
4276.836
0.147
1-833
1.967
14-45
0.127
1.584
1.708
13.98
0.095
1.188
•294
12.94
4284.838
0.147
1.828
1.962
14.41
0.128
1-594
1.718
14.06
0.095
1.187
•293
12.93
4287 566
0.144
I 7o6
I O3O
14.17
O.I23
I ^31
I ' ' " 's
I2.C4.
<f «u I . j«v
4288.310
0.142
/ y
1.766
yo
1.904
13.96
- * J
O.I24
1-537
1.661
*O"O*T
13.59
0.094
1.169
•275
12.75
4290.377
0.147
1.824
1.958
14.38
0.125
1.551
1-675
13.70
0.096
1.192
.298
12.98
4290.542
0.149
1.849
1.983
14-56
0.123
i-53i
1-655
13.54
0.096
1.197
•303
13-03
4291.630
0.150
1.867
2.001
14.69
0.125
1-557
i. 68 1
13.75
0.094
I-I75
.281
12.81
4294.936
0.149
1.850
1.984
J4-57
0.123
1-529
I.6S3
13-52
0.095
1.180
.286
12.86
0 =
64°!
0 =
76:1
0 =
8*
4196.699
0.052
0.664
0.738
I2.OO
0.025
0.322
0.370
10.93
0.018
0.232
0.269
12.34
4197.257
0.053
0.682
0.756
12.27
0.024
0.309
0-357
10.55
0.019
0.242
0.279
12.80
4203.730
0.057
0.729
0.803
I3-05
O.O28
0-355
0.403
11.91
0.018
0.231
0.268
12.30
4209.144
0.055
0.701
0-775
1 2. 60
0.028
0-354
0.402
11.88
0.019
0.244
0.281
12.89
4216.136
0.054
0.685
0-759
12.32
0.025
0.322
0.370
10.93
0.017
0.218
0.255
11.70
4220.509
0.055
0.702
0.776
I2.6l
0.029
0.368
0.416
12.29
0.019
0.245
0.282
12.94
4232.887
0.056
0.711
0.785
12.76
O.O28
0-356
0.404
11.94
0.018
0.224
0.261
11.98
4257.815
0.058
0.698
0.772
12-55
0.030
0.378
0.426
12.59
0.019
0.241
0.278
12.76
4258.477
0.056
0.703
o-777
12.63
0.031
0.388
0.436
12.88
0.019
0.236
0.273
12.53
4265.418
0.056
0.699
0-773
12-57
0.031
0.392
0.440
13.00
0.018
0.228
0.265
12. l6
4266.081
0.057
0.718
0.792
12.87
0.030
o.377
0.425
12.56
0.019
0.238
0.275
12.62
4268.915
0.054
0.671
0-745
12. IO
O.O28
0-356
0.404
11.94
0.018
0.223
0.260
"•93
4276.836
0.057
0-715
0.789
12.84
0.031
0.390
0.438
12.94
0.018
O.220
0.257
11.79
4284.838
0-055
0.680
0-754
12.24
O.O28
0-345
0-393
11.61
0.017
0.212
0.249
"•43
4287.566
0.057
0.712
0.786
12.78
0.031
0.388
0.436
12.88
0.018
O.224
0.261
11.98
4288.310
0.056
0.698
0.772
12-55
0.028
0-349
0-397
"•73
0.019
0.234
0.271
12.44
4290.377
0-053
0.656
0.730
11.87
0.030
0.363
0.411
12.14
o.o 1 8
0.226
0.263
12.07
4290.542
0.056
0.691
0.765
12.42
0.028
0-373
0.421
12.44
0.019
0.234
0.271
12.44
4291.630
0.059
0.730
0.804
I3-07
0.030
0.368
0.416
12.29
0.019
0.238
0.275
12.62
4294.936
0.055
0.680
0-754
12.24
0.028
0.348
0.396
11.70
0.018
0.223
0.260
"•93
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
Plate
TABLE 4. — RESULTS TOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
87. 1907, June 22, nh iom G. M. T. Measured by L. on T. Distance from Limb 0.6 mm. Quality, good.
p-f
secy
Q
o-a
p
D
90.4
16.0
6.8
2.0
Diameter 167.0 mm
Factor i .007
30-9
3°-9
59-i
3-9
I.OO2
37-9
37-9
52.1
3-2
1.002
51-4
Si-4
38-6
2.6
1. 001
66.9
66.9
23.1
2.2
I.OOI
81.9
81.9
8.1
2.O
1.00 1
0 =
8! i
0 =
23!l
<t> =
38!6
/
A
D
» + »i
£
A
V
»+»,
e
A
t>
» + »,
i
km
km
0
km
km
0
km
km
0
4196.699
0.148
1.887
2.O2I
14.49
0.129
1.646
•774
13.69
0.099
-265
1-379
"•S3
4197-257
0.147
1.875
2.OO9
14.41
0.130
1.658
.786
13-77
O.IOO
•277
I-39I
12.64
4203.730
0.149
1.896
2.030
14.56
0.132
1.679
.807
13-95
0.103
•3"
I-425
12.94
4209.144
0.150
1.901
2.035
14-59
0-133
1.689
.817
14.02
0.103
•305
1.419
12.89
4216.136
0.148
1-875
2.OO9
14.41
0.130
1.647
•775
13-70
O.IOI
.280
1-394
12.66
4220.509
0.150
1.897
2.031
14-56
0.134
1.694
1.822
14.06
0.104
•314
1.428
12.97
4232.887
0.150
1.889
2.023
14-51
0.133
I-675
1.803
13-92
0.103
.297
1.411
12.82
4257.815
0.153
1.905
2.039
14.62
0.136
1.696
1.824
14.08
0.106
.320
1-434
13-03
4258.477
0.152
1.890
2.O24
14-51
0.134
1.667
1-795
13-85
0.104
.297
1.411
12.82
4265.418
0.152
1.890
2.024
14-51
0-134
1.666
1-794
13-85
0.106
.312
1.426
12-95
4266.081
0-154
I-9I5
2.049
14.69
0-135
1.677
1.805
13-93
0.107
•324
1.438
13.06
4268.915
0-IS3
1.895
2.029
14-55
0.134
1.664
1.792
13-83
0.107
•323
1-437
13-05
4276.836
0.152
1.882
2.OI6
14.46
0.136
1.679
1.807
13-95
0.106
•3"
I-42S
12.94
4284.838
O.IS3
1.889
2.023
14-51
0.136
1.678
i. 806
13-94
0.105
.296
1.410
12.81
4287.566
0.152
1.876
2.010
14.41
0.136
1.677
1.805
13-93
o. 106
.308
1.422
12.92
4288.310
0.152
1.875
2.009
14.41
0-135
1.665
1-793
13.84
0.105
.294
1.408
12.79
4290.377
0.151
1.861
1-995
14-31
0.132
1.627
1-755
13-55
0.103
.270
1.384
12.57
4290.542
0.152
1-873
2.007
14.40
0.132
1.626
J-754
13-54
0.104
.281
1-395
12.67
4291.630
0.152
1.872
2.006
14-39
0.134
1.648
1.776
13-71
0.104
1.280
1-394
12.66
4294.936
0.153
1.882
2.016
14.46
0-133
1.636
1.764
13.62
0.104
1.280
1-394
12.66
<t> =
S2tl
<t> =
52!'
0 =
Srfi
4196.699
0.072
0.922
1.024
11.83
0.074
0.946
1.040
12.02
0.059
0-755
0.837
"•57
4197-257
0.074
0.918
I.OI2
11.70
0.073
0-933
1.027
II.8?
0.060
0.767
0.849
11.74
4203.730
0.076
0.969
1.063
12.29
0.076
0.969
1.063
12.29
0.063
0.803
0.885
12.23
4209.144
0.075
0-954
1.048
12. II
0.076
0.967
1.061
12.26
0.062
0-789
0.871
12.04
4216.136
0.073
0.926
I.O2O
11-79
0.074
0-939
1-033
11.94
0.060
0.762
0.844
11.67
4220.509
0.076
0.963
1-057
12.22
0.076
0.963
1-057
12.22
0.062
0.786
0.868
11.99
4232.887
0.077
0.971
1.065
12.31
0.078
0.983
1.077
12-45
0.063
0.789
0.871
12.23
4257-815
0.080
0.999
1.093
12.63
0.080
0.999
1-093
12.63
0.064
0.800
0.882
12.19
4258.477
0.078
0.970
1.064
12.30
0.078
0-973
1.067
12-33
0.063
0.787
0.869
12.01
4265.418
0.078
0.969
1.063
12.29
0.078
0.972
1.066
12.32
0.063
0.785
0.867
11-99
4266.081
0.080
0.996
1.090
I 2. 60
0.078
0.971
1.065
12.31
0.065
0.807
0.889
12.29
4268.915
0.079
0-979
1-073
12.40
0.077
0.956
1.050
12.14
0.064
0.794
0.876
12. II
4276.836
0.078
0.967
1.061
12.26
0.077
0-955
1.049
12.13
0.065
0.806
0.888
12.28
4284.838
0.079
0.976
1.070
12.37
0.078
0.964
1.058
12.23
0.065
0.804
0.886
12.25
4287.566
0.078
0.966
i. 060
12.25
0.078
0.964
1.058
12.23
0.064
0.802
0.884
12.22
4288.310
0.078
0.965
1-059
12.24
0.077
0-954
1.048
12. II
0.064
0.791
0.873
12.07
4200.377
0.079
0.974
i. 068
12-34
0.077
0-952
1.046
I2.O9
0.063
0.778
0.860
11.89
4290.542
0.078
0.963
1-057
12.22
0.077
0.952
1.046
12.09
0.063
0.778
0.860
11.89
4291.630
0.079
0-973
1.067
12-33
0.077
0.952
1.046
I2.O9
0.064
0.789
0.871
12.04
4294.936
0.079
0-973
1.067
12-33
0.078
0.961
i-OSS
12.19
0.063
0.777
0.859
11.88
52 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate w 88. 1907, June 22, nh 40™ G. M. T. Measured by L. on T. Distance from Limb 0.6 mm. Quality, good.
P-P
secy
O
Q-a
p
D
90.4
16.0
6.8
2.0
Diameter 167.0 mm
Factor 1.007
30-9
30.9
S9-i
3-9
I.OO2
37-9
37-9
52-1
3-2
1.002
Si-4
Si-4
38.6
2.6
I.OOI
66.9
66.9
23-1
2.2
I.OOI
81.9
81.9
8.1
2.0
I.OOI
\
4> =
8° i
<t> =
23! i
0 =
3»!6
A
A
V
» + »,
1
A
v
n + tij
«
A
t
» + »,
i
km
km
O
km
km
0
km
km
0
4196.699
0.147
1.878
2.OI2
14-43
0.128
I-633
1.761
13-59
O.IOO
1.277
•391
12.64
4197-25?
0.148
.888
2.O22
14-50
0.128
I-633
1.761
13-59
0.099
.264
-378
12.52
4203.730
0.150
.909
2.043
14.65
0-133
1.689
1.817
14.02
0.103
•3"
•425
12.94
4209.144
0.151
.917
2.051
14.71
0.131
1.664
1.792
13.83
O.IO2
•295
.409
I 2. 80
4216.136
0.149
.888
2.O22
14.50
0.129
I-635
I-763
13.61
O.IOI
.281
•395
12.67
4220.509
0.152
.922
2.056
14.74
0.132
1.669
1-797
13.87
0.103
•303
•417
12.87
4232.887
0.152
.914
2.048
14.69
0.132
1.662
1.790
13.82
0.104
1.309
•423
1293
4257-815
0-154
1.920
2.054
14-73
0-134
1.668
1.796
13.86
0.105
1.309
•423
12.93
4258-477
0-153
1.901
2-035
14-59
0.132
1.643
.771
13-67
0.103
1.281
•395
12.67
4265.418
0-153
1.899
2-033
14.58
0.132
1.642
.770
13-66
0.103
1.279
•393
12.65
4266.081
0.154
1.909
2-043
14-65
0-135
1.677
-805
13-93
0.105
1.306
.440
13.08
4268.915
0.154
1.908
2.O42
14.64
0-135
1.676
.804
13.92
0.103
1.276
•390
12.63
4276.836
0-153
1.894
2.028
14-54
0.132
1.634
.762
13.60
0.103
1.276
•390
12.63
4284.838
0-153
1.885
2.019
14.48
0.134
1-654
.782
13-75
O.IO4
1.284
•398
I2.7O
4287.566
0-153
1.885
2.019
14.48
0-133
1.639
.767
13-64
0.104
1-283
•397
12.69
4288.310
0.154
1.896
2.030
14-56
0.133
1.639
.767
13.64
O.IO4
1.283
•397
12.69
4290.377
0.152
1.871
2.005
14.38
0-133
1.638
.766
13-63
O.IO4
1.282
•396
12.68
4290.542
0.152
1.882
2.016
14.46
0-134
1.650
.778
13.72
0.104
1.281
•395
12.67
4291.630
0-154
1.894
2.O28
14-54
0.134
1.649
•777
13-72
0.104
1.281
•395
12.67
4294.936
0-153
1.882
2.0l6
14.46
0-133
1.636
.764
13.62
O.IO4
1.280
•394
12.66
<t> =
s*
0 =
S2ti
0 =
S9?i
4196.699
0.074
0-949
1.043
12.05
0.073
0-937
1.031
11.92
0.059
0.758
0.840
11.61
4197-257
0.075
0.958
1.052
12. l6
0.074
0.946
1.040
12.02
0.060
0.768
0.850
n-75
4203.730
0.076
0.969
1.063
12.28
0.076
0.969
1.063
12.29
O.O62
0.790
0.872
12.06
4209.144
0.077
0.979
1.073
12.40
0.076
0.964
1-058
12.23
O.O62
0.788
0.870
12.03
4216.136
0.075
0.952
1.046
12.09
0.074
0-939
i-°33
11.94
O.o6o
0.761
0.843
11.65
4220.509
0.077
0-975
1.069
12.36
0.077
0-975
1.069
12.36
0.063
0.797
0.869
I2.OI
4232.887
0.078
0-983
1.077
12.45
0.078
0.983
1.077
12-45
O.O62
0.781
0.863
n-93
4257-815
0.080
0-997
1.091
12. 6l
0.080
0.996
1.090
I 2. 60
O.O66
0.824
0.906
12-43
4258.477
0.079
0.983
1.077
12-45
0.078
0.971
1.065
12-31
O.O62
0.772
0.854
11.81
4265.418
0.079
0.982
1.076
12-44
0.079
0.982
1.076
12.44
0.063
0.783
0.865
12.95
4266.081
0.080
0.994
i. 088
12.57
0.080
0-994
i. 088
12-57
0.064
0-795
0.874
12.12
4268.915
0.079
0.981
1-075
12.42
0.079
0.980
1.076
12.44
0.064
0-794
0.876
12. II
4276.836
0.080
0.992
i. 086
12.55
0.080
0.992
i. 086
I2.55
0.064
0-793
0.875
12. IO
4284.838
0.078
0.968
1.062
12.27
0.079
0.979
1-073
12.40
0.064
0.792
0.874
I 2.08
4287.566
0.080
0.988
1.082
12.51
0.079
0.978
1.072
12.39
0.064
0.791
0.873
I2.O7
4288.310
0.078
0.966
i. 060
12.25
0.080
0.988
1.082
12.51
0.063
0-779
0.861
11.90
4200.377
0.078
0.965
1.059
12.24
0.079
0.976
1.070
12.37
0.063
0.777
0.859
11.88
4290.542
0.079
0-975
1.069
12.36
0.080
0.987
1.081
12.49
0.064
0.789
0.871
12.04
4291.630
0.080
0.986
1.080
12.48
0.080
0.986
1.080
12.48
0.064
0.788
0.870
12.03
4294.936
0.081
0.997
1.091
12.61
0.082
I.OIO
1.104
12.76
0.063
0.776
0.858
11.86
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907.
S3
Plate w !
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
1907, June 22, I2h 15™ G. M. T. Measured by L. on T. Distance from Limb 0.6 mm. Quality, good.
p-P
sec*)
0
90.4
3°-5
30.5
59-5
3-9
1.003
o-n
16.0
37-5
37-5
52.5
3-2
1.002
p
6.8
51.0
51.0
39-°
2.6
I.OOI
D
2.O
66.5
66.5
23-5
2.2
I.OOI
Diameter
167.0 mm.
81.5
8i.s
8-5
2.0
I.OOI
Factor
1.007
0 =
8!s
0 =
23!$
0 =
39!°
X
A
V
v + vl
£
A
V
» + »!
£
A
V
» + »!
£
km
km
o
km
km
0
km
km
o
4196.699
0.146
-855
1.989
14.28
0.129
1.645
1-773
13-73
0.098
1.261
1-374
12-55
4I97-2S7
0.146
-855
1.989
14.28
0.128
I-633
1.761
13-63
0.099
1.269
1-382
12.62
4203.730
0.148
.875
2.009
14.42
0.132
1. 680
1. 808
13-99
O.IOI
1.285
1.398
12.79
4209.144
0.147
.863
1.997
14-34
0.132
1.676
1.804
13.96
O.IO2
1-295
1.408
12.86
4216.136
0.146
.850
1.984
14-23
0.130
1.647
•775
13-75
O.IOI
1.281
1-394
12.73
4220.509
0.149
-877
2. on
14.44
0.133
1.682
.810
14.01
0.104
1.316
1.429
13-05
4232.887
0.148
.864
1.998
14-35
0.132
1.662
•790
13.86
O.IO2
.285
1.398
12.77
4257-8IS
0.150
.871
2.005
14-39
0.136
1.693
.821
14.10
0.105
•3"
1.424
13.01
4258.477
0.149
.856
1.990
14.28
0.134
1.667
•795
13.90
0.104
.298
1.401
12.80
4265.418
0.150
-857
1.991
14.29
0.133
1.654
.782
13.80
0.106
•317
1.430
13.06
4266.081
0.151
.870
2.004
14.38
0-137
1-703
.831
14.17
0.105
•305
1.418
12.95
4268.915
0.148
.838
1.972
14.16
0.135
1.672
.800
13-93
0.104
.292
1.405
12.84
4276.836
0.150
•855
1989
14.28
0.134
1.659
•787
13.84
0.106
•309
1.422
12.99
4284.838
0.150
•853
1.987
14.27
0.134
1-653
.78!
13-79
0.104
.283
1.396
12.75
4287.566
0.149
.840
J-974
14.18
0-133
1.639
-767
13.68
0.106
.308
1.421
12.98
4288.310
0.148
.825
1-959
14.06
0-133
1.639
.767
13.68
0.104
.281
1-394
12.73
4290.377
0.146
1.800
1-934
13-88
0-132
1.626
•754
13-58
0.103
•293
1.406
12.84
4290.542
0.150
I-845
1-979
14.21
0.136
1.673
.801
13-94
0.106
•304
1.417
12.94
4291.630
0.150
1.845
1-979
14.21
0.134
1.649
•777
13.76
0.104
.280
1-393
12.73
4294.936
0.147
I-84S
1.979
14.21
0.133
1.636
•764
13-66
0.104
.280
1-393
12.73
<t> =
5z!s
0 =
5z!s
0 =
59!S
4196.699
4I97-2S7
0.074
0.074
0.950
0.950
1.044
1.044
12. 18
12.18
0.076
0.076
0.970
0.970
1.064
1.064
12.41
12.41
0.059
0.060
0.758
0.766
0.838
0.846
11.72
11.83
4203.730
0.076
0.970
1.064
12.41
0.077
0.980
1.074
12.53
0.062
0.792
0.872
12. 2O
4209.144
0.077
0.980
1.074
12.53
0.078
0.991
1.085
12.66
0.062
0.789
0.869
12. l6
4216.136
0.075
0.960
1.054
12.29
0.076
0.967
i. 06 1
12.37
0.061
0.778
0.858
12.00
4220.509
0.077
0.976
1.070
12.48
0.079
0.999
1.093
12-75
0.062
0.786
0.866
12. II
4232.887
0.078
0.984
1.078
12.57
0.078
0.983
1.077
12.56
0.062
0.778
0.858
I2.OO
4257.815
0.080
1. 000
1.094
12.76
0.080
0.998
1.092
12.74
0.065
0.812
0.892
12.48
4258.477
0.079
0.986
1.080
12.60
0.079
0.984
1.078
12.57
0.064
0.794
0.874
12.22
4265.418
0.079
0.985
1.079
12.58
0.081
1.009
1.103
12.86
0.065
0.805
0.885
12.38
4266.081
0.081
1. 006
I.IOO
12.83
0.082
1. 020
1.114
12.99
0.064
0-793
0.873
12.21
4268.915
0.080
0-993
1.087
12.68
0.097
0.980
1.074
12-53
0.064
0.792
0.872
12. 2O
4276.836
0.080
0-993
1.087
12.68
0.080
0.991
1.085
12.66
0.064
0.792
0.872
12. 2O
4284.838
0.081
1.003
1.097
12.79
0.080
0.988
1.082
12.62
0.065
0.803
0.883
12-35
4287.566
0.080
0.990
1.084
12.64
0.080
0.988
1.082
12.62
0.064
0.791
0.871
12. l8
4288.310
0.081
I.OOO
1.094
12.76
0.081
1. 002
1.096
12.78
0.064
0.791
0.871
12. l8
4290.377
0.080
0.988
1.082
12.62
0.081
I.OOO
1.094
12.76
0.063
0.778
0.858
I2.0O
4290.542
0.080
0.987
1.081
12. 6l
0.081
I.OOI
1.094
12.76
0.062
0.767
0.847
11.85
4291.630
0.082
I. Oil
1.105
12.89
0.08 1
0.998
1.092
12.74
0.063
0-777
0.857
11-99
4294.936
0.081
0.997
1.091
12.72
0.083
1. 02 1
1.115
13.00
0.063
0.777
0.857
11.99
54 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 4. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1906-1907 — Continued.
Plate <•> 90. 1907, June 23, sh zom G. M. T. Measured by L. on T. Distance from Limb 1.2 mm. Quality, good.
P-P
scci)
o
o-n
p
D
91.1
16.7
6.4
2.1
Diameter 168.1 mm
Factor 1.014
25-5
25.6
64.4
4.6
I.OO4
34-5
34-5
55-5
3-7
I.OO2
37-o
S2.7
68.2
37-o
S2-7
68.2
53-°
37-3
21.8
3-4
2.6
2.2
I.OO2
I.OOI
I.OOI
83-2
83-2
6.8
2.1
I.OOI
0 =
6!8
<t> =
2I°8
0 =
3?!3
X
A
T
» + ?!
t
A
V
v + vl
i
A
V
V + tlj
{
km
km
0
km
km
0
km
km
0
4196.699
0.149
I-9I3
2.047
14.64
0.128
1.646
1-775
13.58
0.102
1.312
1.429
12.75
4I97-2S7
0.149
I-9I3
2.047
14.64
0.129
I-657
1.786
13.67
O.IO2
1.311
1.428
12.74
4203.730
0.150
1.921
2-055
14.70
0.130
1.666
1-795
13-74
0.103
1.321
•438
12.83
4209.144
0.151
1.925
2.059
14.72
0.130
1.662
1.791
13.70
O.IO4
1-330
•447
12.91
4216.136
0.150
I-9I3
2.047
14.64
0.129
1.646
J-775
13-58
O.IO3
I-3I5
•432
12.78
4220.509
0.150
1.909
2.043
I4.6l
0.130
1-655
1.784
13-65
O.IO4
1.324
.441
12.86
4232.887
0.151
I-9I3
2.047
14.64
0.130
1.648
1-777
13.60
0.105
1-332
•449
12.93
42S7-8IS
0-153
1.920
2.054
14.69
0.131
1.651
1.780
13.62
O.IO4
1.307
1.424
12.70
4258.477
0.152
1.905
2.039
14.58
0.131
1.648
1-777
13.60
O.I 06
1-330
1.447
12.91
4265.418
0.152
1.002
2.036
I4-56
0.132
1.656
1-785
13.66
0.105
I.3I8
1-435
12.80
4266.081
0-153
I-9I3
2.047
14.64
0.132
1.654
1-783
13-64
0.106
1.328
1-445
12.89
4268.915
0.152
1.899
2-033
14-54
0.132
1.650
1-779
13.61
0.106
1.326
1-443
12.88
4276.836
0.152
1.897
2.031
I4-52
0.132
1.646
1-775
13.58
0.106
1.322
1-439
12.84
4284.838
0.152
1.894
2.028
14.50
0.132
1.644
1-773
13-57
0.106
1.320
1-437
12.82
4287.566
0-153
1.902
2.036
14.56
0-133
1.654
1-783
13.64
0.106
1.320
1-437
12.82
4288.310
0-153
1.899
2.033
14-54
0.134
1.664
1-793
13.72
0.106
1.318
1-435
12.80
4290.377
0.152
1.886
2.020
14-45
0-133
1.650
1.779
13.61
0.106
1.318
1-425
12.71
4290.542
O.IS3
1.896
2.030
14.52
0.132
1.652
1.781
13.63
0.107
I-327
1.444
12.88
4291.630
0.152
1.883
2.017
1442
0-133
1.647
1.776
13.59
0.105
1.302
1.419
12.66
4294.936
0.153
1.894
2.028
14.50
0-133
1.647
1.776
13.59
0.107
I-324
1.441
12.86
0 =
S3!o
0 =
ss!s
0 =
64!4
4196.699
0.074
0-953
.046
12-34
0.071
0.912
i. 002
12.56
0.050
0.644
0.715
"•75
4I97-257
0.075
0.964
•057
12.47
0.072
0.925
1.015
12.72
0.050
0.644
0-715
"•75
4203.730
0.077
0.987
.080
12-74
0.072
0.924
1.014
12.71
0.051
0.657
0.728
11.96
4209.144
0.076
0-973
.066
12.58
0.072
0.921
I. Oil
12.67
0.051
0.655
0.726
"•93
4216.136
0.077
0.983
.076
12.69
0.072
0.919
1.009
12.65
0.050
0.641
0.712
11.70
4220.509
0.077
0.981
.074
12.67
0.073
0.930
I.O2O
12.78
0.051
0.651
0.722
11.86
4232.887
0.077
0.977
.070
12.62
0.073
0.926
1.016
12.73
0.052
0.661
0.732
12.03
4257-8I5
0.079
0-993
.086
12.81
0.075
0.941
1.031
12.92
0.054
0.680
0.751
12.34
4258.477
0.078
0.980
•073
12.66
0.074
0.928
1.018
12.76
0.052
0-653
0.724
11.90
4265.418
0.078
0-979
.072
12.65
0.074
0.926
1.016
12.73
0-053
0.665
0.736
12.09
4266.081
0.078
0-977
.070
12.62
0.074
0.926
I .Old
12.73
0.054
0-677
0.748
12.29
4268.915
0.078
0-975
.068
12.60
0.073
0.912
I.OO2
12.56
0.054
0.675
0.746
12.26
4276.836
0.078
0-973
.066
12.58
0.074
0-923
I.OI3
12.70
0.054
0.674
0-745
12.24
4284.838
0.079
0.984
. -077
12.68
0.076
0.946
1.036
12.99
0.054
0.675
0.746
12.26
4287.566
0.079
0-983
.076
12.69
0.074
0.922
I.OI2
12.68
0.054
0.673
0.744
12.22
4288.310
0.080
o-995
.088
12.83
0.075
0.932
I.O22
12.81
0.053
0.661
0.732
12.03
4290.377
0.079
0.981
•074
12.67
0.073
0.908
0.998
12.51
0.053
0.660
0-731
12.01
4290.542
0.080
0-993
.086
12.81
0.076
0-943
1-033
12-95
0.054
0.671
0.742
I2.I9
4291.630
0.079
0.979
.072
12.65
0.074
0.918
1. 008
12.63
0-053
0.658
0.729
11.98
4294.936
0.080
0.991
.084
12.79
0.074
0.917
I.OO7
12.62
0.052
0.646
0.717
".78
The results for Plate w 91 are given on page 49.
MEAN RESULTS FOR EACH PLATE FROM ALL LINES. OBSERVATIONS OF 1906-1907. 55
In order to arrange the results of Table 4 in a convenient form for effective discussion I have col-
lected the values in three ways : (i) mean results for each plate from all lines ; (2) mean results for each
latitude from all lines ; (3) mean results for each line from all plates. These summaries are found in
Tables 5, 6, and 7. The values of v + vl and £ in Table 5 are the means for the separate values given
in Table 4. Table 6 is a rearrangement of Table 5 and indicates the combination of points of latitude
used in the derivation of normal positions. Table 7 is found directly from the values of the individual
lines and forms the basis for a discussion of the behavior of the various lines employed.
TABLE 5. — MEAN RESULTS FOR EACH PLATE FROM ALL LINES. OBSERVATIONS OF 1906-1907.
PLATE
No.
DATE.
No. OF
LINES.
0
r + flj
1
PLATE
No.
DATE.
No. OF
LINES.
</>
» + »,
J
1906
0
km
•
lgo6
0
km
0
<" 3
May 3
20
9.8
2.012
14.49
10 26
June 1 6
20
0.0
2.073
14.72
24.7
I.80S
14.11
15.0
1-977
14-52
39-7
I.4I9
13.10
30.0
1-637
13-41
54-6
1.004
12.31
45-0
1.276
1 2.80
69-5
0.598
12.12
60.0
0.861
12. 19
83-6
0.192
12.23
74-9
0.444
13.12
w 6
May 6
19
10.7
2-035
14.70
co 27
June 16
20
o.o
2.065
14.66
25-7
1-793
14-13
15.0
1-954
14.36
40.6
1.396
I3.°5
30.0
1-657
13-59
55-6
0.990
12.44
45-o
1.270
12.75
70.4
0.589
12.47
60.0
0.827
11.74
84.6
0.177
13-35
74-9
0-435
11.85
<o 8
May 19
19
0.9
2.064
14.65
co 30
Oct. 19
20
O.I
2-075
14-73
iS-4
1.921
I4-52
15.0
1.936
14.22
30.4
1.702
14.01
30.0
1.646
13-49
45-4
1.322
I3-36
44-8
1.326
13.26
75-3
0.448
12-53
59-7
0.844
11.88
74-2
0.416
10.87
10 19
June 12
20
o.
2-053
I4-58
10 31
Oct. 19
20
O.I
2.080
14.76
IS-
1.944
14.29
15.0
1.961
14.41
30-
I-675
13-74
30.0
1.678
13-76
45-
1.280
12.87
44-8
1.274
12-74
60.
0.873
12.44
59-7
0.867
12.20
75-
0.460
12.70
74-2
0.450
11.74
w 20
June 12
20
O.I
2.065
14.66
W35
Nov. ii
20
-0-5
2.078
14-75
IS-'
1.930
14.19
74.2
0.482
12.56
30.1
1.661
13.62
45-1
1.268
12.75
(036
Nov. ii
20
-0.5
2.067
14.68
60. i
0.867
12.34
14-5
1.980
14.51
75-i
0.423
11.68
29.4
1.670
13.60
01 21
June 12
2O
O.I
IS-I
2.059
'•937
14.62
14.24
44-6
59-3
1-253
0.850
12.49
11.82
16.1
1.938
14-31
74-2
0.451
11.76
30.1
1.665
13-66
""37
Nov. n
2O
-0.7
2.073
14.72
45-1
1.274
12.81
14-3
i-957
14.34
60. i
0.859
12.24
29-3
1.687
13-75
7S-i
0.428
11.41
44-2
1.266
12-54
a 23
June 15
2O
o.o
2.054
14.58
59-2
0.877
12. l6
15.0
1-934
14.22
74-o
0.461
11.88
30.0
4S-o
59-o
75-°
1.669
1.260
0.857
0.436
13-68
12.65
11.82
"•95
1038
Nov. ii
2O
-0.7
14-3
29-3
44.2
2.082
1-959
1-677
1.284
14.78
13-35
13-65
12.72
<o 24
June 15
20
0.0
2-065
14.66
59-2
0.896
12.42
15.0
1-937
14.24
74.0
0.485
12.49
30.0
45 -o
60.0
1.674
1.272
0.872
13-72
12-77
12.38
"39
Nov. ii
2O
-0.7
14-3
2.086
1.964
14.81
14.38
75-o
0.419
12.04
29-3
1.686
13-72
co 25
June 15
20
o.o
15.0
30.0
2.060
1.960
1-663
14.62
14.41
13-63
44.2
59-2
74-o
1.292
0.896
0.488
12.79
12.43
12.56
4S-°
1.272
12.77
<"39i
Dec. 18
20
O.I
2.IOI
14.92
60.0
0.861
12.22
iS-i
1-975
14-53
7S-o
0-437
H.98
30.1
1.704
13-99
56 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 5. — MEAN RESULTS FOR EACH PLATE FROM ALL LINES. OBSERVATIONS OF 1906-1907 — Continued.
PLATE
No.
DATE.
No. OF
LINES.
0
• 4- »i
s
PLATE
No.
DATE.
No. OF
LINES.
</>
• + »i
1
1906
O
km
0
i go?
O
km
°
u 40
Dec. 1 8
20
0.
2.097
14.89
w 64
Apr. 7
20
77-5
0-363
11.92
O.
iS-
2.103
1-974
14-93
14-51
w 67
Apr. 7
20
77-5
0-371
12. 16
iS-
1-977
14-53
w 78
Apr. 7
20
77-5
0.369
12.10
30.
30.
1.699
1.704
13-94
13.98
01 69
Apr. 7
20
77-5
0.369
12. IO
w 41
Dec. 18
20
O.
2.086
14.81
w 81
Apr. 22
20
67.2
0.656
12.02
0.
2.076
14-74
67.2
0.649
11.89
IS-
1-957
14-38
72.5
0.501
11.83
iS-
1.960
14.40
72-5
0.497
"•74
3°-
i-7°3
13-97
79-5
0.315
12.27
30-
1.690
13-87
79-5
0.3H
12.24
u 46
Dec. 1 8
20
44-4
1.294
12.86
"83
May 10
20
63-5
0.700
11.14
44-4
1.294
12.86
63-5
0.720
ii-45
44-4
1.298
12.90
74-4
0.465
12.28
59-4
0.884
12-33
74-4
0.436
11.51
59-4
0.892
12.44
79-2
0.302
11.44
59-4
0.892
12.43
79-2
0.300
iJ-37
047
Dec. 18
20
35-4
1-537
13-39
085
May 30
20
63.8
0.730
"•74
35-4
1.516
13.20
63.8
0.722
11.62
44-4
1.308
13.00
74-8
0-454
12.30
Si-9
1.090
12.54
74-8
0.462
12.52
Si-9
i. 088
12.53
igO?
S9-4
0.897
12.50
"85
May 30
20
63-8
0.782
12.58
w 50
Feb. 3
20
7-5
2-3
38.2
54-°
69-5
2.01 1
1-835
I-SH
I.OI4
0.604
14-39
14.18
13.68
12.25
12.25
63.8
74.8
74-8
79.8
79.8
0.792
0-474
0.464
0.291
0.289
12.75
12.82
12.56
11.67
11.58
77-8
0.3II
10.44
w86
May 31
20
14.8
1.966
14.44
77.8
0-333
u. 18
19
29.8
1.668
13-65
"55
Feb. 15
2O
7-5
2.049
14.67
20
44-8
1.304
13.04
22.4
1.847
14.18
20
64.1
0.770
12.52
38.3
1.464
13.22
20
76.1
0.408
12.06
u 56
Feb. 15
2O
7-5
2.012
14-43
2O
81.1
0.268
12.28
22.4
1.851
14.20
w 87
June 22
20
8.1
2.020
14-49
38.3
1-454
13.16
23.1
1-793
13.84
S4-o
1.040
12.56
38.6
1.411
12.82
69-S
0.612
12.41
52-1
1.059
12.24
to 60
Feb. 28
2O
6-5
2.043
14-59
52-1
1-055
12. 2O
6-5
2.046
14.62
59-i
0.869
12.01
20.4
28.1
1.841
1.679
13-94
13-52
u88
June 22
20
8.1
23.1
2.031
1.780
14.56
13-73
3S-o
1.512
13.10
38.6
1.401
12.74
43-7
1.285
12.62
52.1
1.071
12.38
5°-5
1. 091
12.19
52-1
1.071
12.38
w 61
Feb. 28
16
43-7
1.265
12.42
59-i
0867
12. OO
18
18
17
18
SO-S
59-5
S9-S
6S-3
1.105
0.836
0.836
0.679
12-33
11.69
1 1. 69
11.53
089
June 22
20
8-5
23-5
39-0
1.986
1.787
1.405
14.26
13.84
12.84
17
18
18
65-3
65-3
6S-3
0.679
0.724
0.722
"•S3
12.30
12.27
52-5
52-5
59-5
1.079
i. 086
0.866
12-59
12.67
12. II
u> 62
Feb. 28
20
-6.0
2.042
14-57
o> 90
June 23
20
6.8
2.039
14.58
7-9
1.997
14-32
21.8
1.782
I3.63
15-6
1-993
14.69
37-3
1-437
12.82
22.S
1-789
13-75
55-5
1.015
12.71
30.2
I-655
13-59
53-o
i-°73
12.66
38-1
1.511
13.64
64.4
0-732
12.03
"63
Feb. 28
20
7.2
2.056
14.67
w 91
June 23
20
6.8
2-034
14-55
20.6
1.839
13-95
21.8
1.804
13.80
28.2
1.674
I3-48
37-3
1-447
12.91
35-i
1-535
13-32
53-o
1.089
12.84
So-7
1.058
11.86
43-8
1.283
12.63
MEAN RESULTS FOR EACH LATITUDE FROM ALL LINES. OBSERVATIONS OF 1906-1907. 57
TABLE 6. — MEAN RESULTS FOR EACH LATITUDE FROM ALL LINES. OBSERVATIONS OF 1906-1907.
PLATE
PLATE
£
PLATE
PLATE
No.
<t>
P + P!
1
No.
<t>
r PJ
£
No.
<t>
» + pt
1
No.
0
P + P,
£
»
km
•>
"
km
0
O
km
0
o
km
0
u 8
0.9
2.064
14.65
w 3
24.7
1.805
14.11
<u 8
45-4
1.322
13.36
« 3
69-5
0.598
12.12
19
O.I
2-053
14.58
6
25-7
1-793
I4.I3
19
45-1
1.280
12.87
6
70.4
0.589
12-47
20
O.I
2.065
14.66
So
23-3
1.835
I4.I8
20
45-i
1.268
12.75
So
69-5
0.604
12.25
21
O.I
2.059
14.62
55
22.4
1.847
I4.I8
21
1.274
12.81
56
69-5
0.612
12.41
23
o.o
2.054
14.58
56
22.4
1.851
I4.2O
23
45-0
1.260
12.65
61
65-3
0.679
"•53
24
0.0
2.065
14.66
60
20.4
1.841
13-94
24
45-0
1.272
12.77
61
65-3
0.679
"•53
25
o.o
2.060
14.62
62
22.5
1.789
13-75
25
45-0
1.272
12.77
61
65-3
0.724
12.30
26
o.o
2.073
14.72
63
2O.6
1.839
13-95
26
45-0
1.276
I 2. 80
61
65-3
0.722
12.27
2?
0.0
2.065
14.66
87
23.1
1-793
13.84
27
45-0
1.270
12-75
81
67.2
0.656
12. 02
3°
O.I
2.075
14-73
88
23.1
1.780
13-73
30
44.8
1.326
13.26
81
67.2
0.649
11.89
31
O.I
2.080
14.76
89
23.5
1.787
13.84
31
44.8
1.274
12-74
83
63-5
0.700
11.14
35
0.5
2.078
14-75
90
21.8
1.782
I3-63
36
44.6
1-253
12.49
83
63-5
0.700
11.14
36
o-S
2.067
14.68
91
21.8
1.804
13.80
37
44-2
1.266
12.54
83
63-5
0.720
"•45
37
38
0.7
o-7
2.073
2.082
14.72
14.78
Means 22.7 1.811 13.94
38
39
44-2
44-2
1.284
1.292
12.72
12.79
83
85
63-5
63.8
0.720
0.730
"•45
11.74
39,
0-7
2.086
14.81
46
44-4
1.294
12.86
85
63.8
f\i Q
0.722
_o „
11.62
n _Q
39*
O.I
2.IOI
14.92
46
44-4
1.294
12.86
O1)
63.8
0.702
12.58
40
O.I
2.097
14.89
« 8
30.4
1.702
14.01
46
44-4
1.298
12.90
8S
63.8
0.792
12-75
40
O.I
2.103
14-93
'9
30.1
J.675
13-74
47
44-4
1.308
13.00
86
64.1
0.770
12.52
41
O.I
2.086
14.81
20
30.1
1.661
13.62
60
43-7
1.285
12.62
00
64.4
0.732
12.03
41
O.I
2.076
14-74
21
30.1
1-665
13.66
61
43-7
1.265
12.42
Alciins 6^6 o 604. 1 1 06
Means 0.2 2.074 I4-73
23
30.0
1.669
13-68
63
Ofi
43-8
. . 0
1.283
12.63
24
30.0
1.674
13-72
OO
44.8
1.304
!3-04
25
30.0
1.663
13-63
Means 44.6 1.283 12.80
w 8
75-3
0.448
12.53
26
30.0
1*637
I 7.41
19
75.1
0.460
12.70
<" 3
6
9.8
10.7
2.OI2
2-035
14.49
14.70
27
30
31
30.0
30.0
30.0
1-657
1.646
1.678
13-59
13-49
13-76
6
54-6
55-6
1.004
0.990
12.31
12.44
20
21
23
75-i
7S-i
75-o
0.423
0.428
0.436
11.68
11.81
"•95
50
55
56
60
60
62
62
63
8?
88
89
7-5
7-5
7-5
6-5
6-5
6.0
7-9
7-2
8.1
8.1
8-5
2.OII
2.049
2.OI2
2.043
2.046
2.042
1.997
2.056
2.02O
2.031
1.986
14-39
14.67
14-43
14-59
14.62
14-57
14-32
14.67
14.49
14.56
14.26
36
37
38
39
39*
40
40
41
60
62
29.4
29-3
29-3
29-3
30.1
30.1
30.1
30.1
30.1
28.1
30.2
1.670
1.687
1.677
1.686
1.704
1.699
1.704
1-703
1.690
1.679
1-655
13.60
13-75
13-65
13-72
13-99
13-94
13.98
13-97
13-87
I3-52
13-59
47
47
50
56
60
61
63
87
87
88
88
Qrt
5i-9
51-9
54-0
54-o
50-5
50.5
50.7
52.1
52-1
52.1
S2.I
1.090
1. 088
1.014
1.040
1.091
1.105
1.058
1.059
1.055
1.071
1.071
I2-54
12.53
12.25
12.56
12.19
12.33
11.86
12.24
12.20
12.38
12.38
24
25
26
27
30
31
35
36
37
38
39
75-°
75-0
74-9
74-9
74-2
74-2
74.2
74.2
74.0
74-0
74.0
0-439
0.436
0-445
0-435
0.416
0.450
0.482
0-45 1
0.461
0.485
0.488
12.04
11.98
12.12
11.85
10.87
11-74
12.56
11.76
11.88
12.49
12.56
90
6.8
6.8
2-039
2.034
14.58
14-55
63
86
28.2
29.8
1.674
1.668
13-48
13-65
89
89
52-5
52-5
1.079
1.086
I2-59
12.67
12.66
50
50
77-8
77-8
0.311
0-333
10.44
11.18
Means 7.7 2.028 14.53
Means 29.8 1.676 13.71
9°
90
53-O
55-5
I-°73
1.015
12.71
64
£ _
77-5
0-363
11.92
T l\ • A
91
53-o
1.089
12.84
67
68
77-5
77-5
0-371
0.369
I 2.16
12.10
Means 52.7 1.060 12.43
69
Q
77-5
0.369
12.10
8l
72-5
0.501
1 1 .83
w 8
iS-4
I.92I
I4-S2
W 2
39-7
1.419
13.10
w 19
60. i
0-873
12.44
81
72.5
0-497
11.74
19
iS-i
1.944
14.29
3
39-7
1.419
13.10
20
60. i
0.867
12.34
83
74-4
0.465
12.28
20
iS-i
1.930
14.19
6
40.6
1.396
13-05
21
60. i
0.859
12.24
83
74-4
0.465
12.28
21
1-937
14.24
47
35-4
1-537
13-39
23
59-0
0.857
11.82
83
74-4
0.436
"•Si
21
i6!i
1.938
14-31
47
35-4
14516
13.20
24
60.0
0.872
12.38
83
74-4
0.436
11.51
23
15.0
1-934
14.22
So
38.2
1.514
13.68
25
60.0
0.861
12.22
8S
74-8
0-454
12.30
24
IS-O
1-937
14.24
55
38-3
1.464
13.22
26
60.0
0.861
12.19
85
74-8
0.462
12.52
25
15.0
1.960
14.41
56
38-3
1-454
13.16
26
60.0
0.861
12.19
85
74-8
0-474
12.82
26
15.0
J-977
14-52
60
35-°
1.512
13.10
27
60.0
0.827
11.74
85
74-8
0.464
12.56
26
15.0
1-977
14-52
62
38-1
1.511
13-64
3°
59-7
0.844
11.88
86
76.1
0.408
I 2. 06
27
15.0
1-954
14.36
63
35-i
1-535
13-32
31
59-7
0.867
12. 2O
Means 75.1 0.435 ".98
30
15.0
1.936
14.22
87
38-6
1.411
12.82
36
59-3
0.850
11.82
31
15.0
1.961
14.41
88
38-6
1.401
12.74
37
59-2
0.877
12. l6
36
I4-S
1.980
89
39-o
1.405
12.84
38
59-2
0.896
12.42
<" 3
83.6
0.192
12.23
37
14-3
1-957
H-34
90
37-3
1-437
12.82
39
59-2
0.896
12.43
6
84.6
0.177
13-53
38
14-3
1-959
14-35
9'
37-3
1-447
12.91
46
59-4
0.884
12.33
81
79-5
0-315
12.27
39
39 i
14-3
1.964
1-975
14-38
14-53
Means 37.8 1.461 13.13
46
46
59-4
59-4
0.892
0.892
12.44
12.43
81
83
79-5
79.2
0.314
0.302
12.24
11.44
40
iS-i
1-974
14-51
47
59-4
0.897
12.50
83
79-2
0.302
11.44
40
1-977
14-53
61
59-5
0.836
11.69
83
79-2
0.300
"•37
41
15.1
1-957
14.38
61
59-5
0.836
11.69
83
79.2
0.300
"•37
41
15.1
1.960
14.40
8?
59-i
0.869
12.01
85
79.8
0.291
11.67
62
IS-6
1-993
14.69
88
59-i
0.867
I2.OO
85
79.8
0.289
11.58
86
14.8
1.966
14.44
89
59-5
0.866
I J.IT
86
81.1
0.268
12.28
Means 15.0 1.957 M-4O
VI cans 59.6 0.867 12.15
Means 80.4 0.277 ".80
58 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 7. — MEAN RESULTS FOR EACH LINE FROM ALL PLATES. OBSERVATIONS OF 1906-1907.
*-.!.
0 = 7t7
0 = 15!°
0 - 2,!7
X
ELEMENT.
No. OF
No. OF
No. OF
No. OF
PLATES.
» + »!
*
PLATES.
» + »!
1
PLATES.
«- + »!
*
PLATES.
v + vl
1
km
0
km
o
km
0
km
0
4196.699
La
21
2.077
14-75
14
2.O22
14.49
24
1.946
14.30
12
1.798
13.84
4197-257
CN
21
2.081
14.78
IS
2.O26
14-51
24
1-957
14.38
13
1.804
13.88
4203.730
Cr
21
2.096
14.88
IS
2.045
14.65
23
1-974
14.51
13
1.818
13.99
4209-144
Zr
21
2.103
14-93
IS
2.O42
14-63
24
1-977
14.53
13
1.827
14.07
4216.136
CN
21
2.057
14.61
IS
2.028
14-53
24
1-943
14.28
13
1.799
13.84
4220.509
Fe
21
2.089
14-83
IS
2-039
14.61
24
1.978
14-54
13
1.824
14.04
4232-887
Fe
21
2.089
14.83
IS
2.038
14.60
24
1-977
14-53
13
1.824
14.04
42S7-8IS
Mn
21
2.090
14.84
15
2.054
14.72
24
1-974
14-51
13
1.832
14.10
4258-477
Fe
21
2-074
14-73
IS
2.030
14-54
24
1.965
14-45
13
1.810
13-93
4265-418
Fe
21
2.075
14-74
IS
2.027
14-54
24
1.968
14.46
13
1.801;
13.89
4266.081
Mn
21
2.080
H-77
IS
2.045
14.65
24
1.962
14.42
13
1.830
14.08
4268.915
Fe
21
2.072
14.71
15
2.030
14-54
24
1.966
14-45
13
1.814
13.96
4276.836
-Zr
21
2.070
14.70
IS
2.O2I
14.48
24
1-954
14-35
13
i. 806
13.90
4284.838
Ni
21
2.067
14.68
15
2.021
14.48
24
1.958
14-39
13
1.811
13.94
4287.566
Ti
21
2.072
14.71
IS
2.0l6
14.44
24
I-956
14.38
13
1.810
13.93
4288.310
Ti, Fc
21
2.070
14.70
15
2.OI6
14.44
24
1.949
14-33
13
i. 806
13.90
4290.377
Ti
21
2-053
14.58
15
2-003
H-35
24
1-943
14.28
13
1.800 13.85
4290.542
Fe
21
2-058
14.62
15
2.0l6
14.44
24
1-949
U-33
13
i. 806 13-90
4291.630
Fe
21
2.061
14.63
15
2.010
14.40
24
I-95I
14-34
13
1.801 13.86
4294-936
Zr
21
2.063
14.65
15
2.018
14.46
24
1.946 ! 14-30
13
1-798
13-84
X
ELEMKNT.
0=29?8
0=37!8
0 = 44!6
0 = 52!?
4196.699
La
24
1. 660
13-58
15
1.446
12.97
22
1.266
12.62
16
1.034
12. II
4197-257
CN
24
1.674
13-70
16
1-445
12.98
22
1.271
12.67
17
1-037
12.15
4203.730
Cr
23
1.693
13.84
16
1.467
13.18
22
1.282
12.78
18
1-057
12.38
4209.144
Zr
24
1.698
13-89
16
1.469
13.20
23
1.302
12.98
18
1-057
12.38
4216.136
CN
24
I-653
13-52
16
I-45I
13.04
23
1.266
12.62
18
1.038
12.16
4220.509
Fe
24
1.697
13.88
16
1.470
13.21
23
1.296
12.92
18
i. 060
12.42
4232-88?
Fe
24
1.689
13.82
16
1.465
1^.16
23
1.287
12.83
18
1.058
12.40
4257-8I5
Mn
24
1.694
13.86
16
1.478
13-28
23
1.301
12.97
18
1-075
12.59
4258.477
Fe
24
1.682
I3-76
16
1.461
I3-I3
23
1.289
12.85
18
1.063
12-45
4265.418
Fe
24
1.678
13-73
16
1.464
13.16
22
1.286
12.82
18
i. 06 1
12.43
4266.081
Mn
24
1.68?
13.80
16
1-477
13-27
23
1.295
12.91
18
1.078
12.63
4268.915
Fe
24
1.676
13-71
16
1.464
13.16
22
1.286
12.82
18
1.059
12.41
4276.836
-Zr
24
1.677
13-72
16
1.464
13.16
23
1.281
12.77
18
1.062
12-44
4284.838
Ni
24
1.666
13-63
16
1-459
13.11
23
1.282
12.78
18
i. 068
12.51
4287.566
Ti
24
1.665
13.62
16
1-459
13.11
22
1.280
12.76
18
1.063
12-45
4288.310
Ti, Fe
24
1.670
13.66
16
1.462
13-14
23
I-27S
12.71
18
1.067
12.50
4290.37?
Ti
24
1.661
13-59
16
I-45I
13-04
23
1-275
12.71
18
i. 060
12.42
4290.542
Fe
24
1.669
13-65
16
1-457
13.09
23
1.276
12.72
18
1.065
12.48
4291.630
Fe
24
1.667
13.64
16
1-459
13.11
23
1.280
12.76
18
1.065
12.48
4294-936
Zr
24
1.666
13-63
16
1.462
13.12
23
1.288
12.84
18
i. 068
12.51
X
ELEMKNT.
* = «*
0 - 65!6
0 = 75?i
* = 8o!4
4196.699
La
22
0.842
11.80
IS
0.675
11.65
33
0.407
II. 21
ii
• 0.271
11-54
4197.257
CN
22
0.848
11.90
16
0.674
11.63
33
0.413
11.41
ii
0.269
"•4S
4203-730
Cr
24
0.871
12.22
20
0.692
it-94
32
0.442
12.20
ii
1 0.283
12.05
4209-144
Zr
24
0.877
12.31
20
0.698
12.04
33
0.438
12.09
ii
0.280
11.92
4216.136
CN
24
0.851
n-94
20
0.673
11.61
33
0.407
II. 21
ii
0.270
"•49
4220.509
Fe
24
0.868
12.17
2O
0-693
11.96
33
0.440
12.15
ii
0.286
12.18
4232.887
Fe
24
0.873
12.25
20
0.698
12.04
33
0.438
12.10
ii
0.279
u.88
4257-8i5
Mn
24
0.883
12.39
20
0.710
12.25
33
0.456
12-59
ii
0.284
12.09
4258-477
Fe
24
0.881
12.36
2O
0.698
12.04
33
0.442
12. 2O
ii
0.278
11.83
4265-418
Fe
24
0.874
12.26
2O
0.694
"•97
33
0-435
12.01
ii
0-277
11.79
4266.081
Mn
23
0.884
12.40
20
0.707
12.20
33
0-452
12.48
ii
0.287
12.22
4268.915
Fe
24
0.864
12.12
19
0-703
12.13
33
0.436
I2.O4
ii
0.276
"•75
4276.836
-Zr
24
0.869
12.19
2O
0.699
I 2. 06
33
0-435
I2.OI
ii
0.276
11-75
4284.838
Ni
24
0.864
12.12
20
0.696
I2.OI
33
0-435
12.01
ii
0.276
ii-7S
4287.566
Ti
24
0.874
12.26
20
0.697
12.02
33
0.436
12.04
ii
0.270
u.88
4288.310
Ti, Fe
24
0.866
12.15
2O
0.694
11.97
33
0-437
12.07
ii
0.276
"-7S
4290-377
Ti
24
0.858
12.04
20
0.691
n-93
33
0.431
11.90
n
0.269
11-45
4290.542
Fe
24
0.856
12.01
20
0.693
11.96
33
0-437
12.07
ii
0.274
u.66
4291-630
Fe
24
0.862
12.09
2O
0.699
I 2. 06
33
0.448
12.37
ii
0.276
"•75
4294-936
Zr
24
0.870
12.21
20
0.694
11.96
33
0-434
11.98
ii
0.277
11.79
OBSERVATIONS OF 1908. 59
Since a satisfactory discussion of the preceding results involves a comparison with the values obtained
during 1908, and the addition of the summaries for the latter at this point would necessarily involve a large
amount of repetition and duplication of tables, it has seemed to me preferable to undertake next the
detailed consideration of the 1908 observations. When these have been brought to the point at which we
now leave the 1906-1907 observations, we shall be able to take up the discussion of the two simultaneously
and carry them on to advantage in parallel columns. Accordingly, we now pass to a consideration of the
later results.
6. OBSERVATIONS or 1908.
It was not intended at the conclusion of the series of observations made with the Snow telescope during
1906-1907 to undertake an extended continuation of the work for a considerable time. Two circumstances,
however, led to a modification of this plan. The first was the completion of the tower telescope and the
knowledge we came to have of the decidedly superior advantages possessed by it over the Snow telescope,
both as regards astigmatism and changes of focus of the image, and the power and efficiency of the
spectroscopic equipment used in connection with it. The second was the discovery of the remarkable dif-
ferences in the period and law of rotation of the sun which are indicated when we compare results given by
the hydrogen lines with those derived from the ordinary lines of the general reversing layer (15). This
discovery naturally made it desirable to study certain special lines in the spectrum, and at the same time
to continue the study of the rotation period for the reversing layer to act as a check on the other results
found. Moreover, such a determination, when compared with the earlier one of 1906-1907, would be of.
great value in its bearing on the question first raised by Halm, of a variation in the sun's period of rota-
tion. Accordingly, in February, 1908, a new series of observations was begun with the tower telescope.
The essential features of the tower telescope are a coelostat with a mirror 17 inches (43.2 cm) in diameter,
mounted on a track running north and south, and an elliptical second mirror 22.25 x I2-75 inches (56.5 x
32.4 cm) in size, used in connection with it, which sends the beam of light received from the ccelostat upon
a i2-inch (30.5 cm) visual objective immediately beneath it. This objective forms the image of the sun
on the slit of the spectrograph 60 feet (18.3 m) below, at a distance of 5 feet (1.5 m) above the level of the
ground. Two tracks are provided for the ccelostat on the summit of the tower, the instrument being used
on the west side for observations during the morning hours, and transferred to the east track in the after-
noon. Its position north and south on its track is, of course, defined by the declination of the sun. Two
slow motions are provided for controlling the position of the image, the first by means of an electric motor
which rotates the ccelostat mirror slowly, and the second by a handle which turns the second plane mirror
about a vertical axis. The objective can be focused by the observer from near the end of the spectro-
graph, by means of a steel tape and hand-wheel, which moves the objective in a vertical direction.
Probably the most distinctive feature of this instrument is the great thickness of the two mirrors
employed. This is the same for both mirrors and amounts to 12 inches (30.5 cm), the object being to
provide great resistance to flexure when the surfaces are heated by exposure to sunlight. Additional
advantages tending to improve the character of the sun's image, which the tower telescope possesses, are
the direction of the beam, which is vertical instead of horizontal, and the fact that the path of the beam,
due to the formation of the image by a lens, is single instead of double, as would be the case with a concave
mirror. A fourth advantage, which is probably of great importance, is that the light falls upon the surface
of the ccelostat mirror at an elevation of over 60 feet above the surface of the ground, and so is free from
many disturbing effects suffered by light which passes close to the surface of the ground. As a result
of these various points of advantage, the character of the image is on the average considerably superior
to that formed by the Snow telescope, and the effect of astigmatism and changes of focus is much less
marked. As a rule the effect of prolonged exposure to sunlight, at least during the morning hours, is shown
by a gradual shortening of the focal length indicating a tendency on the part of the mirrors to become
slightly concave (16). This continues to some extent even when the mirrors are covered, and it is probably
due to the fact that the edges of the glass become heated from contact with the warm air and expand more
60 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
rapidly than the interior of the glass, to which the heat is conducted comparatively slowly. The whole
effect is very gradual, however, and hardly appreciable during exposures of half an hour.
The spectrograph employed with the tower telescope is of 30 feet (9.1 m) focal length, and stands in a
vertical position in an underground chamber, the walls of which are lined with concrete. The spectrograph
is of the auto-collimating type and consists of a skeleton steel tube, at the lower end of which is a heavy
casting which carries the lens and the grating mounting. The casting terminates in a rounded head which
fits into a cup-shaped support in another casting attached to a small pier on the floor of the pit, and this
bearing carries practically the entire weight of the spectrograph. The top of the instrument consists of a
large round plate carrying the slit and plate-holder supports. Along the outer edge of this plate there is a
circle 30 inches (0.76 m) in diameter, graduated to degrees, and capable of being estimated to within one-
tenth of that amount. The entire spectrograph, including this plate, can be rotated about a vertical axis
by means of a rack and pinion. In order to define the upper end of the instrument, there is a large sta-
tionary ring in which the plate forming the top of the spectrograph fits closely. This carries an index for
reading the circle and also serves to support some of the slow-motion handles. The lens and the grating
are adjusted by handles near the slit, and the focus of the former is read by a small telescope.
The diagonal-prism arrangement used to bring the images of the opposite edges of the sun upon the
slit is considerably more simple than that used in the observations of 1906-1907. This is due to the fact
that since the spectrograph rotates as a whole, the attachment itself requires no provision for motion in
position angle, but can be clamped directly to the top of the spectrograph. It consists of a small iron
casting about 8 inches (20.3 cm) high which is fastened to the spectrograph plate by two taper pins The
lower surface of the casting is a few millimeters above the plane of the slit, and to it are attached four small
diagonal prisms, two immediately above the slit, and two, at a distance from each other of approximately
the sun's diameter, beneath small openings in the casting. The distance between the first pair can be varied
to allow for variations in the size of the sun's image, and the light from them is received by the second pair
of prisms and reflected upon the slit. Each prism is mounted independently and provided with adjusting
screws. The sun's image is centered by means of circles ruled on an aluminium plate fastened to the top
of the casting and concentric with the center of the slit. The faces of the prisms can be cleaned without
removing them from their mountings.
With this form of mounting it is evident that the danger of changes in the illumination of the grating
surface is much less than in cases where the diagonal prisms themselves are movable. I have, however,
been careful to maintain the precautions used in the earlier series and have tested the character of the illumi-
nation frequently, always before and after the series of exposures, and usually before some of the inter-
mediate exposures. The margin of safety for full illumination of the grating surface is approximately the
same for this instrument as for the spectrograph used with the Snow telescope. The ratio of aperture
to^focal length for the tower telescope is i : 60. The grating employed with the spectrograph, which is the
same as that used in the earlier series of observations, has a ruled surface 3.25 inches (8.3 cm) long. In the
third order the projection of this surface would be less than 3 inches, to fill which would require a ratio of
i : 120. The factor of safety in this case, accordingly, is about 2.
Since the grating used in this series of observations is the same as that of the earlier series, it has been
possible to make a direct comparison of the plates as regards quality and definition. For these photo-
graphs the third order has been employed, as against the fourth order previously. With a focal length of
spectrograph five-thirds as great, however, there is a gain in linear scale approximately in the ratio of 5 : 4.
More exactly, the linear scale of the 1908 plates in the violet is i mm = 0.56 Angstrom, while for the 1906 -
1907 observations it is i mm = 0.71 Angstrom. In spite of this increase in linear scale the lines are decid-
edly superior on the later plates, a result which is to be attributed in part, no doubt, to the fact that the
definition in the third order of this grating is considerably superior to that in the fourth, but probably still
more to the excellent conditions of temperature under which the grating is working at the bottom of the
deep underground chamber. Experiments have shown that the total variation at the bottom of this pit
ADAMS
PLATE 1
"o
I
OBSERVATIONS OF 1 908.
6l
corresponding to a daily range inside the spectroscope house of about 15° C. can hardly exceed o?o6 C.
It is scarcely possible that the grating can have worked under conditions approaching this in excellence
when in the horizontal spectrograph in the Snow telescope house. The effect of small variations of tempera-
ture in the grating during an exposure will eventually be to widen the lines slightly without, in the case of
differential determinations of this sort, introducing errors into the displacements, since both spectra are
affected alike. The accidental errors of measurement will, however, be somewhat greater for the wider
lines, and this is no doubt partly accountable for the gain in the internal agreement of the measures on the
later plates.
The procedure followed in taking the plates differs little from that used in the earlier series, and so does
not require very extended consideration. The fact that the spectrograph itself is rotated to obtain the
position-angle settings for the various latitudes desired has made it possible to secure on all of the plates
a position corresponding to the projection of the sun's pole on its visible edge, and this has been used as a
most important check on the results for the successive exposures. It constitutes a very marked advantage
which the later plates possess over those of the earlier series. The reference line for the observations is
obtained by securing the transits of the sun's image across the 3o-inch position circle on the top of the spec-
trograph, the instrument, of course, being brought to the zero position before the exposures are begun.
Transits of both edges are taken and the mean value used for the sun's center. Three or four separate
observations are usually made for these determinations and the mean taken. As in the observations with
the Snow telescope, experiments have shown no appreciable difference in the results obtained when the
ccelostat mirror is rotated, or when the clock is stopped and the image allowed to drift across the circle.
With a knowledge of the east-and-west line obtained in this way the position of the sun's pole is readily
found by reference to a solar ephemeris, and the settings of the position circle corresponding to the latitudes
desired are then readily made. In general, about the same heliographic latitudes have been observed
during the present series as in the series of 1906-1907. The points at o°, 15°, 30°, 45°, 60°, and 75° are in
fact almost exactly comparable. At intermediate points somewhat different latitudes have been employed,
but the normal positions are sufficiently close to each other to make accurate comparisons simple.
TABLE 8. — LINES OBSERVED IN 1908. «*•*
X
ELEMENT.
INTENSITY.
BEHAVIOR AT LIMB.
4196.699
La
2
Much weakened.
4197-257
CN
2
Slightly weakened.
4203.730
Cr
2
Strengthened and widened.
4207.566
CN
i N
Weakened.
4216.136
CN
i
Weakened.
4220.509
Fe
3
Slightly strengthened and widened.
4232.887
Fe
2
Much strengthened and widened.
4233.328
Mn
4
Much weakened. Probably not Mn but en-
hanced line of Fe.
4257-8lS
Mn
2
Slightly strengthened and widened.
4258.477
Fe
2
Much strengthened and widened.
4265.418
Fe
2
Slightly weakened.
4266.081
Mn
2
Slightly weakened.
4268.915
Fe
2
Slightly weakened.
4276.836
-Zr
2
Weakened.
4283.169
Ca
4
Strengthened and widened.
4284.838
Ni
I
Slightly weakened.
4287.566
Ti
I
Slightly strengthened and widened.
4288.310
Ti, Fe
I
Widened.
4289.525
Ca
4
Probably slightly strengthened.
4290.377
Ti
2
Slightly weakened. Enhanced line of Ti.
4290.542
Fe
I
Slightly weakened.
GO
>• Si
62 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
A few modifications have been made in the list of lines used in the earlier investigation, with a view
to the inclusion of certain lines of especial interest and the omission of some lines in the previous list which
have no particular significance. The revised list consists of the 22 lines given in Table 8.
Of the new lines in the list, \ 4207.566 is included because of its identification in Rowland's table as
carbon (more accurately cyanogen). The appearance of the line under high dispersion, however, indicates
that it is almost certainly of compound origin, and a similar conclusion is warranted by the size of its
displacement at the sun's limb. The line X 4233.328 is of great interest becauseof being a very strong spark,
or enhanced, line of iron and very prominent in the spectrum of the chromosphere. Two lines of calcium
are added to the list for comparison with the so-called "blue line" at X 4227, as well as with other lines
in the less refrangible part of the spectrum investigated by M. Perot by interference methods (17).
Further reference will be made to these results in the course of the discussion.
7. RECORD OF OBSERVATIONS, 1908.
The details of the observations given in Table 9 are taken from the observing journal and cover the
33 plates used in this investigation. The table is essentially the same as that given for the plates of 1906-
1907, the principal difference being that in the present series I have measured the diameter of the image and
the distance of the slit inside the sun's limb directly, instead of computing them as in the previous case.
The columns giving these values are found in the table immediately preceding the column containing the
observations for zero. The use of a lens instead of a concave mirror, as in the case of the Snow telescope,
has of course involved a correction in focusing the image on the slit of the spectrograph. This is readily
found from the shape of the color curve for the lens, and it has been my practice before beginning the ob-
servations to focus the image on the slit and then displace the lens by an amount corresponding to this
difference for the region under investigation. The other columns in the table are self-explanatory.
TABLE 9. — RECORD OF OBSERVATIONS, 1908.
DATE.
HOUR
G.M.T.
PLATE
No.
DEFI-
NITION.
EX-
POSURE
TIME.
SLIT
WIDTH.
DISTANCE
INSIDE
LIMB.
DIAME-
TER OF
IMAGE.
OBSERVATIONS
FOR ZERO.
EX-
POSURE.
READINGS
POSITION
CIRCLE.
igo8
h m
sec
mm
mm
mm
Feb. 16
II 10
w 103
4
210
0.038
0.5
172.4
142.1! (322.0
i
42.8
168.3 1 \ 348.2
2
27.8
3
12.8
4
357-8
5
342.8
6
327.8
7
312.8
Mar. 10
7 o
ta 105
5
1 80
0.045
3-6
171.6
26.5 \ f 206.9
i
74-6
52.3) 1232.8
2
59-6
3
44.6
4
29.6
S
14.2
6
358-3
7
344-6
8
343-9
9
357-4
10
13.0
ii
28.7
Mar. 10
7 5°
w 106
5
ISO
0.045
3.6
171.6
1
i
AT, Q
/
2
*to-y
58-9
4
73-9
S
58.9
6
43-9
7
28.7
8
13-0
9
357-4
10
343-9
RECORD OF OBSERVATIONS, 1908.
TABLE 9. — RECORD OF OBSERVATIONS, 1908 — Continued.
DATE.
HOUR
G. M. T.
PLATE
No.
DEFI-
NITION.
EX-
POSURE
TIME.
SLIT
WIDTH.
DISTANCE
INSIDE
LIMB.
DIAME-
TER OF
IMAGE.
OBSERVATIONS
FOR ZERO.
EX-
POSURE.
READINGS
POSITION
CIRCLE.
1908
h m
sec
mm
mm
mm
0 O
0
April 8
7 45
o 113
2-3
180
0.030
3.6
171.6
43-4 \_l 223.5
69.5 j \ 249.4
i
2
330.1
343-1
3
358.8
4
15.0
5
30.1
(>
45-1
7
60. i
May 26
12 0
w 117
4
90
0.030
1.6
168.7
297.0 \ f 116.5
i
274.2
271.2) \ 90.8
2
287.7
3
303-2
4
319.0
S
334-*
6
349-2
7
364-2
8
364-2
9
349-2
10
334-2
ii
319.0
12
303-2
13
287.7
June 2
3 10
W I 2O
4
1 20
0-033
1.2
168.0
61.6 ) / 242.5
.87.5 f " I 268.3
I
2
312.7
326.2
3
341-7
4
357-2
5
12.7
(>
27.7
7
42.7
8
40.7
9
25-7
10
10.7
ii
355-2
12
339-7
13
324.2
14
310.7
June 9
12 SO
u 128
2
105
0.033
i-5
166.0
269.3 \_1 88.6
294. 7 j \H4.i
I
2
270.9
285-9
Taken at ioh ism
3
300.9
4
3I5-9
5
330-9
6
345-9
7
o-9
June 10
8 IS
<•> 132
2
90
0-033
1.4
165.6
62.7 \ I 243-0
88.4 / \ 268.6
i
2
296.6
306.6
Taken at 3" om
3
321.6
4
336.6
S
351.6
6
6.6
7
21.6
June ii
j ^
w 134
4
90
0.033
2-5
1 68.0
62.91 (243.6
88.6 f 1269.3
i
2
295.8
305.8
3
320.8
4
335-8
5
350.8
6
5-8
7
20.8
8
25.8
Tune i i
4 CO
W I 7 C
7C
O O3?
2.1
167.4
i
295.8
5°
/o
•'•'-'OO
*"/ **t
2
305.8
3
310.8
4
325.8
5
340.8
6
355.8
7
10.8
8
2S-8
64 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 9. — RECORD OF OBSERVATIONS, 1908 — Continued.
DATE.
HOUR
G. M.T.
PLATE
No.
DEFI-
NITION.
EX-
POSURE
TIME.
SLIT
WIDTH.
DISTANCE
INSUJE
LIMB.
DIAM-
ETER OF
IMAGE.
OBSERVATIONS
FOR ZERO.
EX-
POSURE.
READINGS
POSITION
CIRCLE.
igog
h m
sec
mm
mm
mm
0 0
0
June ii
4 5°
j 9 f
7
7C
O 032.
2.1
167 4
i
25°8
*
O
/ J
*w/ -^
2
10.8
3
355-8
4
340.8
5
325-8
6
310.8
7
305-8
8
295.8
June ii
5 40
w 136
2
80
O.O32
i.S
167.0
i
295.8
""*«J —
2
305-8
3
320.8
4
335-8
5
350.8
6
5-8
7
20.8
8
25.8
Aug. 5
9 So
w 146
4
5°
0.038
i-3
1 68.6
277.1 ) 1 96.8
i
327.8
302.7 1 1 122.5
2
342.8
3
357-8
4
'3-3
5
28.8
6
44-3
7
57-8
Aug. 5
10 30
w 147
3
7°
0.038
1.4
1 68.6
i
57.8
2
. J /
44-3
3
28.8
4
13-3
5
357-8
6
342.8
'
7
327.8
Aug. 5
10 30
w 148
3
7°
0.038
1.4
168.6
i
527 8
2
o 1 •*•'
342.8
3
357-8
4
13-3
5
28.8
6
44-3
7
57-8
Aug. 6
5 15
u 151
3
70
0.038
i.s
168.6
56.2 \ f 236.7
i
278.4
82.0 1 1 262.4
2
291.9
3
307-7
4
323-2
5
338.4
6
353-4
7
8.4
Aug. 26
II 0
ui6i
3
75
0.034
i.i
168.9
JOS-1 I } 3"-7
i
42.1
131.1 1 I 285.8
2
17.7
3
1.7
4
346.3
5
33i-i
6
323-6
7
316.1
Aug. 26
II O
l» 162
3
75
0.034
i.i
168.9
i
316. i
2
o
3
331.1
4
346.3
5
1.7
6
17.7
7
42.1
RECORD OF OBSERVATIONS, 1908.
TABLE 9. — RECORD or OBSERVATIONS, 1908 — Continued.
DATE.
HOUR
G. M. T.
PLATE
No.
DEFI-
NITION.
EX-
POSURE
TIME.
SLIT
WIDTH.
DISTANCE
INSIDE
LIMB.
DIAME-
TER OF
IMAGE.
OBSERVATIONS
FOR ZERO.
EX-
POSURE.
READINGS
POSITION
CIRCLE.
1908
h m
sec
f mm
mm
mm
e o
e
Aug. 26
II 55
w 163
3
90
0.0^4.
I.I
168.0
i
42.1
*"*'1J*T
** y
2
17-7
3
i-7
4
346.3
S
33I-I
6
323-6
7
316.1
Aug. 26
II S5
w 164
•3
oo
O.O^d
I.I
168.9
i
316. i
O J
o
yw
""""J"?
Awu.y
2
J» V
323-6
3
331-1
4
346.3
S
i-7
6
17.7
7
42.1
Aug. 27
6 45
u 165
3
70
0.030
1.6
168.8
46.01 f253.2
72.4 / (226.8
i
2
280.6
305.0
3
320.9
4
336.4
S
3Si-6
6
359-1
7
6.6
Aug. 27
6 A<
u> 1 66
•3
7O
O.O^O
1.6
168.8
i
6.6
*to
O
/ v
V>VJW
2
359-1
3
351-6
4
336.4
S
320.9
6
305-0
7
280.6
Sept. 30
II 40
<•> 179
3
90
0.038
I.O
170.6
I24-7\_/ 3°4-6
5
45-5
150.8 ( 1330.7
6
45-5
Taken at ioh 35™
Sept. 30
II 40
w 180
3
90
0.038
I.O
170.6
3
45-S
4
45-5
Oct. 9
II 0
o> 182
4
90
0.038
I.O
170.6
130-4 \ I 310-2
S
3I4-2
156.6 ( 1336-4
6
3I4-2
7
299.2
8
291.2
Oct. 9
II O
w 183
A
ne
0.0^8
I.O
170.6
i
291.2
t
yj
ta"^'O
2
299.2
3
314-2
4
3I4-2
S
299.2
6
291.2
7
291.2
8
299.2
Oct. 22
6 30
w 184
4
140
0.041
1-3
171.2
'QS-Sl/ iS-9
221.8 / \ 42.3
i
2
305-1
329.1
3
334-4
4
344-8
S
344-8
6
334-4
7
329-1
8
3i-i
Oct. 22
6 ^o
w 185
4.
I4O
0.041
I. a
171.2
i
SI.I
v ,jw
*T
**TN^
• 'j
2
329.1
4
344-8
S
344-8
7
329-1
Oct. 22
7 4S
01 186
•3
I4O
0.041
I.O
171.2
i
329.1
/ *r J
O
•LtfW
3
344-8
4
3i-i
S
3i-i
8
329.1
66 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
The plates used in this investigation have been measured on the same instruments as those of the earlier
series, and accordingly the previous discussion of the screw errors of these comparators is directly appli-
cable in the present work. The process of measurement has also been identical in the two cases as well as
the combination of the individual determinations to form the final means. In the present series the inclina-
tion of the micrometer wire in the measuring comparator, determined by means of a plate taken with a
long slit, is controlled by the exposure secured on the pole of the sun. The conversion of the measured
displacements into linear velocity is made by means of Table 10, which is very similar to that given for the
earlier observations, and differs from it only because of the difference in the linear scale of the plates. The
quantities correspond to the displacements measured with the Toepfer comparator in units of the half-
millimeter.
TABLE 10. • — CONVERSION OF DISPLACEMENTS INTO VELOCITIES. OBSERVATIONS OF 1908.
X
ONE REVOLUTION
IN ANGSTROMS.
ONE ANGSTROM
IN KM.
ONE-HALF
REVOLUTION
IN KM.
X
ONE REVOLUTION
IN ANGSTROMS.
ONE ANGSTROM
IN KM.
ONE-HALF
REVOLUTION
IN KM.
4196.699
0.2996
71-45
IO.7O
4266.081
0.2984
70.29
10.49
4197-257
0.2996
71.44
IO.7O
4268.915
o. 2984
70.24
10.48
4203.730
0.2995
71-33
10.68
4276.836
0.2984
7O.II
10.46
4207.566
0.2994
71.27
10.67
4283.169
0.2982
7O.OI
10.44
4216.136
0.2992
71.12
10.64
4284.838
0.2982
69.98
10.43
4220.509
0.2992
71-05
10.63
4287.566
0.2982
69.94
10.43
4232.887
0.2988
70.84
10.58
4288.310
0.2982
69.92
10.43
4233-328
0.2988
70.83
10.58
4289.525
0.2982
69.90
10.42
4257-815
0.2986
70-43
10.52
4290.377
0.2982
69.89
10.42
4258.477
0.2986
70.42
10.51
4290.542
0.2982
69.89
10.42
4265.418
0.2984
70.30
10.49
4291.630
0.2982
69.87
10.42
It is unnecessary to consider further the various corrections to be applied to the observed linear veloci-
ties to reduce them to the sun's sidereal period of rotation, or the computation of the latitudes, since the
process of obtaining these is identical with that used in the previous reductions.
Two important respects in which the observations of 1908 have a marked advantage over those in the
earlier series have been referred to in the course of the description of the instrument. The first of these is
in the quality of the sun's image formed by the object-glass of the telescope, and its comparative freedom
from astigmatism and changes of focus during the exposures taken upon the plates. The importance of
this source of error was dwelt upon strongly in the previous discussion of this subject, and the probability
that it is largely, if not wholly, eliminated in the case of the tower telescope can not fail to be of the greatest
possible value to the results obtained. The second advantage is in the relative stability of the diagonal-
prism apparatus, which forms the images upon the spectrograph slit, and upon which the illumination of
the grating depends. With the precautions taken in the first series of observations considerable changes
of illumination could hardly have escaped detection, but sufficiently small changes might have done so,
and accordingly it is a source of decided satisfaction that in the present series of determinations the danger
of error from this source is also greatly reduced. A third important consideration has already been referred
to, but may well be emphasized again. This is the presence on each plate of a spectrum of the edge of the
sun corresponding to the projection of the pole. This furnishes a practical check on all of the adjustments
of the instrument of the type so much to be desired in the measurement of small displacements.
8. RESULTS FOR THE INDIVIDUAL PLATES, 1908.
The results for the individual plates are given in Table n in the same form as in Table 4 for the earlier
observations, and the symbols employed are the same throughout. The sole difference in the constants
of reduction used is that the value of the longitude of the ascending node of the sun's equator fl, has been
modified by a slight correction corresponding to the precession for the two years intervening between the
two sets of observations. The value employed is 74° 26'.
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908.
67
TABLE ii. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908.
Plate u 103. 1908, Feb. 16, nh iom G. M. T. Measured by L. on T. Distance from Limb 0.5 mm. Quality, good.
p — P 7T 0 7) S6CJ)
0.2
Q 326.9
14.8
16.3
73-7
25-4
1.107
O-fi 252.4
29.8
30-5
59-5
13-7
1.029
P 17.8
44.8
45-2
44.8
9.8
i. 015
D -6.9
59-8
60. i
29.9
8.0
I.OIO
Diameter 172.4 mm
74.8
74-9
14.1
7.2
1.008
Factor 1.014
89.8
90.2
— O.2
6.9
1.007
*.
-«:,
*-
*
0-
.A
A
V
.+,,
•
A
V
. + „
6
A
V
. + .,
«
4196.699
0.177
km
1-935
km
2.077
14-75
0.165
km
1-805
km
1.944
14-23
0.138
km
1.512
km
1.636
13-40
4197-257
0.178
1-945
2.087
14.82
0.165
1.805
1.944
14-23
0.138
I.5I2
1.636
I3-40
4203.730
0.176
1.920
2.062
14.64
o.i 66
I.8lO
1.949
14.27
0.140
I-53I
1-655
13-55
4207.566
0.177
1.928
2.070
14.70
o.i 68
1.826
1.965
14-38
0.140
1-542
1.666
13.64
4216.136
0.178
1-935
2.077
H-75
0.169
1.838
1.977
14.47
0.139
I-5I4
1.638
I3-4I
4220.509
0.180
1-954
2.096
14.88
o.i 68
.827
1.966
14-39
0.140
I-54I
1.665
13.64
4232.887
0.180
1.946
2.088
14.83
0.170
.841
1.980
14.49
0.142
1-538
1.662
13.61
4233.328
0.177
1-913
2-055
14-59
0.170
.840
1.979
14-49
0.140
1.518
1.642
13-45
4257-815
0.183
1.965
2.107
14.96
0.172
•845
1.984
14-52
0.142
1.528
1.652
13-53
4258.477
0.179
1.922
2.064
14-65
0.171
.835
•974
14-45
0.140
1.504
1.628
13-33
4265.418
0.180
1.928
2.070
14.70
0.167
.787
.926
14.10
0.140
I.S03
1.627
I3-32
4266.081
0.182
1.950
2.092
H.85
0.171
.832
.971
14-43
0.144
1.546
1.670
13.68
4268.915
0.180
1.926
2.068
14.69
o.i 68
.796
•935
14.16
0.137
1.470
1-594
13-05
4276.836
0.182
•945
2.087
14.82
o.i 68
•795
•934
14-15
0.142
I.5I7
1.641
13-44
4283.169
0.178
.898
2.040
14.48
0.169
.801
•940
14.20
0.142
I-5I7
1.641
13-44
4284.838
0.180
.920
2.062
14.64
0.171
.821
.960
14-35
0.140
1-497
1.621
13.28
4287.566
0.181
.927
2.069
14.70
0.169
.800
•939
14-19
0.142
I-5I5
1.639
I3-42
4288.310
0.182
•939
2.081
14.78
0.167
.782
.921
14.06
0.142
I-SI5
1.639
13-42
4289.525
0.180
.917
2.059
14.62
o.i 66
•770
.909
13-97
0.140
1-495
1.619
13.26
4290.377
0.180
.916
2.058
14.61
0.165
.760
.899
13-90
0.138
1.472
1.596
13.07
4290.542
0.180
•915
2.057
14.60
0.167
.780
.919
14.05
0.141
1.504
1.628
13-33
4291.630
0.179
•905
2.047
14-53
0.170
.809
.948
14.26
0.136
1-454
1.578
12.92
0 =
44!8
0 =
sts
0 =
73!?
4196.699
0.108
1.189
1.294
12.94
0.060
0.670
0.746
10.44
0.030
0.360
0.402
10.17
4197-257
0.108
1.189
1.294
12.94
0.060
0.670
0.746
10.44
0.032
0.384
0.426
10.78
4203.730
0.109
1.198
I-303
13-03
0.062
0.690
0.766
10.71
0.034
0.407
0.449
11.36
4207.566
0.109
1.191
1.296
12.96
0.062
0.689
0.765
10.70
0-035
0.419
0.461
11.66
4216.136
0.108
1.178
1.283
12.83
0.062
0.689
0.765
10.70
0.034
0.406
0.448
"•33
4220.509
0.108
1.178
1.283
12.83
0.062
0.687
0.763
10.67
0.032
0.382
0.424
10.73
4232.887
0.108
1.176
1.281
12.81
0.064
0.703
0-779
10.90
0.034
0.404
0.446
11.28
4233-328
O.IIO
1.198
I-303
13-03
0.062
0.684
0.760
10.63
0.032
0.380
0.422
10.67
4257-815
O.II2
1.192
1.297
12.97
0.066
0.723
0.779
ii. 18
0-035
0.413
0-455
11.51
4258.477
0.108
1.168
1-273
12.73
0.065
0.713
0-789
11.04
0.032
0-377
0.419
10.60
4265.418
O.I 1 1
1.182
1.287
12.87
0.065
0.711
0.787
II.OI
0.032
0-377
0.419
10.60
4266.081
O.IIO
1.183
1.288
12.88
0.064
0.700
0.776
10.85
0.034
0.401
0-443
II. 21
4268.915
O.IIO
1.182
1.287
12.87
0.065
0.709
0.785
10.98
0.034
0.400
0.442
11.18
4276.836
O.I I I
1.192
1-297
12.97
0.064
0.699
0-775
10.84
0.034
0.400
0.442
ii. 18
4283.169
O.IIO
1.181
1.286
12.86
0.066
0.719
0-795
II. 12
0.032
0-375
0.417
10.55
4284.838
O.IIO
1.183
1.288
12.88
0.066
0.718
0-794
II. II
0-035
0.410
0.452
"•43
4287.566
O.II2
1.208
I-3I3
I3-I3
0.064
0.698
0-774
10.83
0-035
0.410
0.452
"•43
4288.310
O.II2
1.208
I-3I3
I3-I3
0.066
0.717
0-793
II.O9
0.034
0.398
0.440
"-13
4289.525
O.IIO
1.181
1.286
12.86
0.064
0.697
0-773
I0.8I
0.036
0.421
0.463
11.71
4290.377
0.108
I-I57
1.262
12.62
0.062
0.674
0.750
10-49
0.034
0.398
0.440
11.13
4290.542
0.108
1.158
1.263
12.63
0.065
0.706
0.782
10-94
0.036
0.421
0.463
11.71
4291.630
O.IIO
1.179
1.284
12.84
0.064
0.696
0.772
10.80
0.034
0.398
0.440
11.13
68 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate w iosr 1908, March 10, 7h om G. M. T. Measured by A. on G. Distance from Limb 1.8 mm Quality, good.
P-f
secy
Q
O-Si
P
D
349-8
275-3
23-9
-7.2
Diameter 171.6 mm
Factor 1.021
0.3
14.0
15-7
74-3
27.7
.129
29.9
3°-7
59-3
14.2
.032
45-3
45-8
44.2
IO.I
.016
60.3
60.6
29.4
8-3
.on
75-3
75-4
14.6
7-4
.008
9°-3
9°-3
- °-3
7.2
.008
\
0 = - o!3
0 = 14^6
0 - 29!4
0 = 44!2
A
A
•
, + „
»
A
•
, + „
I
A
1!
, + „
*
A
•
,-M,
i
4196.699
0.170
km
1. 880
km
2.O2O
14-31
0.170
km
1. 880
km
2.016
14.79
0.136
km
1.508
km
.631
13-29
O.III
km
1-237
km
1-338
13-25
4197-257
0.170
1.880
2.O2O
14-31
o.i 68
1.814
1.950
14-31
0.132
1-463
•586
12.92
O.II2
1.248
1-349 I3-36
4203.730
0.176
1.942
2.082
14-77
o.i 68
1-854
1.990
14.60
0.136
I.505
.628
I3-27
O.I I 2
1-245
I-346 13-33
4207.566
o.i 68
1.852
1.992
14.14
0.170
1.874
2.OIO
14.74
0.132
1-459
.582
12.89
O.IIO
1. 221
1.322 13.09
4216.136
0.172
1.890
2.030
14-39
0.168
1.848
1.984
14-55
0.128
1.410
•533
12.49
0.108
I.I97
1.298! 12.85
4220.509
0.172
1.889
2.O29
14-38
o.i 68
1.846
1.982
14-53
0.139
1.419
.642
13-37
0.113
1.239
•340
13-27
4232-887
0.176
1.924
2.064
14.64
0.172
1.881
2.017
14.80
0.136
1.492
-615
I3.I6
O.IIO
1. 212
.313
13.00
4233-328
0.172
1.881
2.O2I
14-32
0.168
1.836
1.972
14.47
0.136
1.492
-615
13.16
O.IIO
1. 212
•313
13.00
4257-815
0.180
1-955
2.095
14.87
0.172
1.869
2.OO5
14.71
0.140
I.525
.648
13-43
0.118
.292
•393
13.80
4258.477
0.176 1.912
2.052
14-55
0.172
1.869
2.005
14.71
0.142
1.548
.671
13.62
0.116
.271
•372
13-58
4265.418
0.174
1.886
2.026
14.41
0.172
1.865
2.001
14.68
0.138
1.500
.623
I3-23
0.116
.268
•369
13-55
4266.081
0.178
1.930
2.070
14.69
o.i 68
1.821
r-957
14-36
0.136
1.476
•599
13.02
O.I I 2
.223
•324
13.11
4268.915
0.180
1.949 2.089
14-83
0.174
1.884
2. 02O
14.82
0.140
1.520
•643
13-37
0.116
.266
•367
13-53
4276.836
0.180! 1.945] 2.085 14.80
0.172
1.858
•994
14.63
0.146
1.582
•70S
13.89
0.114
.241
•342
13-29
4283.169
0.180
1.941] 2.081
14-77
0.172
1.854
•990
14.60
0.140
I-5I3
•636
1340
0.116
.260
.361
13-47
4284.838
0.180
1.941
2.081
14-77
0.172
1.854
.990
14.60
0.136
1.470
•593
12.99
O.I I 2
.217
.318
13-05
4287.566
0.180
1.940
2.O8O
14.76
o.i 68
1.810
•946
14.28
0.144
I-556
.679
I3-65
0.117
.270
•371
13-57
4288.310
0.178
1.917
2.057
14-59
0.172
1.852
.988
14.58
0.140
1.512
•635
I3-32
0.116
•259
•360
13-46
4289.525
0.180
1-939
2.079
14-75
0.172
1.852
.988
14-58
0.144
1-554
.677
I3-63
0.118
.280
•381
13-67
4290.377
0.176
1.894
2.034
14.42
0.172
1.852
.988
14.58
0.140
1.511
1-634
I3-3I
0.108 .172
.273
12.59
4290.542
0.180
1.938
2.078
14.74
o.i74
1.872
2.008
14-73
0.144
1-554
1.677
13-63
0.119 .291
•392
13-78
4291.630
0.184
1.960
2.IOO
14.91
0.170
1.830
1.966
14-43
0.146
I-576
1.699
I3-84
0.116
1-259
.360
13.46
0 = S9°3
0 = 74!3
0 = -°°3*
0 = i4?6*
4196.699
0.066
0.749
0.820
11.40
0.029
0.372
0.408
10.70
0.173
1.909
2.049
14-54
0.163
1.800
1.936
14.21
4197-257
0.070
0-794
0.865
12.03
0.029
0.372
0.408
10.70
0.177
1-952
2.092
14.86
0.164
1.809
1-945
14.28
4203.730
0.070
0.790
0.861
11.97
0.031
0.398
0-434
"•39
0.177
•948
2.088
14.83
0.165
1.816
1-952
14.33
4207.566
0.060
0-745
0.816
"•35
0.027
0.346
0.382
IO.O2
0.176
•936
2.076
14-74
o.i 66
1.825
1.961
14-39
4216.136
0.068
0.765
0.836
11.63
0.028
0.356
0.392
10.28
0.178
•952
2.092
14.86
o.i 68
1.843
1-979
14-52
4220.509
0.070
0.787
0.858
"•93
0.033
0.418
0-454
11.91
0.179
.960
2.IOO
14.90
0.167
1.829
1.965
14.42
4232.887
0.068
0.763
0.834
1 1. 60
0.031
0-394
0.430
11.28
0.178
•942
2.082
14.78
0.168
1.832
1.968
14.44
4233-328
0.066
0.741
0.812
11.29
0.028
0-355
0.391
IO.26
0.178
.942
2.082
14.78
0.170
1.854
1.990
14.61
4257-815
0.072
0.802
0.873
12.14
0.032
0.402
0.438
11.49
0.182
•973
2.II3
I5.OO
0.172
1.863
1.999
14.67
4258.477
0.068
0.758
0.829
"•53
0.028
0-342
0.378
9.92
0.179
.940
2.080
14.76
0.173
1.874
2.010
14-75
4265.418
0.072
0.800
0.861
11.97
0.032
0.414
0.450
n.8i
0.177
.914
2-054
14-57
0.169
1.827
1.963
14.41
4266.081
0.068
0.756
0.827
11.50
0.032
0.414
0.450
11.81
0.180
.946
2.086
I4.8l
0.173
1.869
2.OO5
14.72
4268.915
0.070
0.778
0.849
11.81
0-035
0.451
0.487
12.78
0.180
•944
2.084
14-79
0.169
1.823
1-959
14-37
4276.836
0.072
0.798
0.869
12.08
0.032
0.412
0.448
"•75
0.181
•951
2.091
14.85
0.170
1.832
1.968
14.44
4283.169
0.072
0.796
0.867
12.05
0.030
0.390
0.426
11. 18
0.180
•936
2.076
14-74
0.172
1.849
1-985
14-59
4284.838
0.068
0.752
0.823
11.44
0.030
0.390
0.426
n. 18
0.179
•925
2.065
14.65
0.170
1.827
1.963
14.41
4287.566
0.072
0.796
0.867
12.05
0.030
0.390
0.426
11. 18
0.180
•936
2.O76
14.74
0.169
1.816
1-952
14-33
4288.310
0.070
0.774
0.845
"•75
0.029
0.361
0-397
10.42
0.180
•935
2.075
14-73
0.170
1.826
1.962
14.40
4289.525
0.070
0-774
0.845
"•75
0.029
0.361
0-397
10.42
0.180
•934
2.074
14.72
0.171
1.838
1-974
14.48
4290.377
0.072
0-794
0.865
12.03
0.030
0.386
0.422
11.07
0.179
.922
2.062
I4.63
0.172
1.847
1.983
14-55
4290.542
0.072
0-794
0.865
12.03
0.029
0.360
0.396
10.39
o.i 80
•932
2.072
14.71
0.172
1.846
1.982
14-54
4291.630
0.070
0-773
0.844
11.74
0.028
0-349
0.385
IO.IO
0.182
•953
2.093
14.87
0.171
1.836
1.972
14.47
* Measured by L. on T.
The results for Plate w l°5i are continued on page 70.
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908.
69
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate w 105.,. 1908, March 10, 7h o'n G. M. T. Measured by A. on G. and L. on T. ; upper half of table by A., lower by L.
Distance from Limb 1.8 mm. Quality, good.
P-P
seer/
0 349.8
-0.4
o-n 275.3
59-6
59-9
3°- 1
8.4
I. Oil
p 23.9
74.6
74.8
15-2
7-5
i.ooq
D -7.2
89.6
90.4
-0.4
7-2
1. 008
Diameter 171.6 mm
Factor 1.021
\
0 = — o°4
0 = — o°4
0 = IS!2
<t> = }O°I
A
A
j)
» + vl
£
A
I)
» -f Dj
£
A
p
» + Dj
£
A
tl
» + »,
I
4196.699
0.168
km
1.868
km
2.008
14.28
0.172
km
I-9I3
km
2-053
14-58
0.164
km
1.815
km
I-95I
M-35
0-138
km
1-530
km
I-653
o
13-56
4197-25?
0.172
1-913
2-053
14-5*
0.172 1.903
2.043
14-51
0.166
1.836
1-972
I4-5I
0.136
I.5I9
1.642
13-47
4203.730
0.172 1.898
2.038
14.48
0.178
1.963
2.103
14.94
o.i 68
1.854
1.990
14. (>{
0.138
1.526
1.649
13-53
4207.566
0.176
1-95'
2.091
14.86
0.172
1.907
2.047
14-54
o.i 66
1.820
1.956
14-39
0.132
1-459
1.582
12.99
4216.136
0.170
1.868
2.008
14.28
0.172
1.902
2.042
14.50
0.162
1.782
1.918
14.10
0.136
1.498
1.621
13-30
4220.509
0.174
1.911
2.051
14-56
0.176
0-944
2.084
H-79
o.i 68
1.834
1.970
14.49
0.140
i-54i
1.664
13-67
4232.887
0.176
1.936
2.076
14.76
0.176
1.924
2.064
14-51
0.168
1-837
1-973
14-51
0.142
1-456
1-579
12-97
4233-328
0.172
1.881
2.021
14-37
0.176
1.914
2.054
H-59
0.168
1.816
1-952
14.36
0.140
1-545
1.668
13-70
4257-815
o.iSo
1-945
2.085
14.82
0.176
1.923
2.063
14.65
0.166
1.805
1.941
14.27
0.142
1.546
1.669
I3-7I
4258.477
o.iSoj 1.945
2-085
14.82
0.176
1-945
2-085
14.82
0.172
1.858
1.994
14.67
0.146! 1.590
I-7I3
14-05
4265.418
0.176; 1.918
2.058
14.61
0.180
1.908
2.048
14-54
o.i 68
1.822
1-958
14.40
0.144
1-565
1.688
13-85
4266.081
o.iSoj 1.940
2.080
14.78
0.176
1.940
2.080
14.78
0.168
1.822
1.958
14.40
0.148
1-597
1.720
14.11
4268.915
0.182
1-973
2-II3
15.00
0.180
1.971
2. Ill
14.99
0.166
1.799
1-935
14-23
0.144
1-574
1.697
13-93
4276.836
O.I 80
1.956
2.096
14.89
0.182
1-935
2.075
14-75
0.170
1-837
1-973
14-51
0.144
1.561
1.684
13.82
4283.169
O.I 80
i-95i
2.091
14.86
0.180
1.941
2.081
H-79
o.i 68
1.802
1.938
14.25
0.144
1-558
1.681
13-80
4284.838
0.182
1.963
2.103
14.94
0.180
1.941
2.081
14.79
o.i 60
1-737
1-873
13-79
0.144
1-568
1.691
13-88
4287.566
0.180
1.950
2.090
14.85
0.180
1.929
2.069
14.71
o.i 68
1.822
1.958
14.40
0.148
1.598
1.721
14.12
4288.310
0.180
1.928
2.068
14.72
0.180
1.938
2.078
14-77
0.168
1.811
1.947
14-32
0.144
I-556
1.679
I3-78
4289.525
0.184
1.971
2. Ill
14.99
0.180
1.948
2.088
14-83
0.172
1.842
1.978
14-55
0.148
1.598
1.721
14.12
4290.377
0.180
1.949
2.089
14.84
0.176
1.884
2.024
14-39
0.168
1-799
1-935
14-23
0-144
1-543
1.666
13-70
4290.542
0.178
1.916
2.056
14.60
0.182
1.958
2.098
14.90
0.170
1.831
1.967
14.47
0.150
1.630
1-753
14-39
4291.630
0.192
1.970
2. no
14.98
0.180
1-937
2.077
14-77
o.i 68
1.820
1.956
14-39
0.148
1-597
1.720
14.11
0 = — o?4
0 = — o°4
0 = IS?2
<t> = 3o!i
4196.699
0-173
1.009
2.049
14-55
0.170
1.876
2.016
14-32
0.165
1.821
1-957
14-39
0.138
1.526
1.649
13-53
4197-257
0.176
1.942
2.082
14.78
0.172
1.897
2.037
14-47
0.166
1.831
1.967
14.46
0.140
1-547
1.670
I3-72
4203.730
0-175
1.926
2.066
14.68
0-175
1.926
2.066
14.68
0.167
1.825
1.961
14.42
0.141
i-55i
1.674
I3-76
4207.566
0.176
1-935
2-075
14-74
0.177
1-945
2.085
14.80
o.i 66
1.821
J-957
14-39
0.141
i-SSo
1-673
13-75
4216.136
0.174
1.908
2.048
14-54
0.176
1.930
2.070
14.70
0.165
i.8n
1.947
14-32
0.138
i-5i7
1.640
13-44
4220.509
0.178
1-945
2.085
14.80
0.177
1.938
2.078
14.76
0.168
1-835
1.971
14.49
0.141
1.548
1.671
13-73
4232.887
0-179
1-952
2.092
14.86
0.178
1.942
2.082
14.78
0.168
1-833
1.969
14.48
0.143
1.564
1.687
I3-87
4233-328
0.178
1.942
2.082
14.78
0.176
1.919
2.059
14.63
o.i 68
1-833
1.969
14.48
0.140
1-530
1-653
I3-56
4257-815
0.180
i-95i
2.091
14.84
0.180
I-95I
2.091
14.84
o.i 68
1.821
1-957
H-39
0.141
1-532
1-655
13-58
4258.47?
0.181
1.961
2.IOI
14.92
0.180
1.950
2.090
14.83
0.169
1.832
1.968
14-47
0-143
1-547
1.670
I3-72
4265.418
0.179
1-935
2-075
14-74
0.179
J-935
2.075
14.74
0.170
1-833
1.969
14.48
0.143
1-547
1.670
I3-72
4266.081
0.180
1.938
2.078
14.76
0.178
1.924
2.064
14.66
o.i 68
1.817
1-953
14-36
0.143
1-547
1.670
I3-72
4268.915
0.180
1-937
2.077
14-75
0.180
1-943
2.083
14.78
0.170
1.831
1.967
14.46
0-143
1-545
1.668
I3-70
4276.836
0.180
t-937
2.077
14-75
0.179
1.929
2.069
14.70
0.170
1.830
1.966
14-45
0.143
1-545
1.668
I3-70
4283.169
0.180
1-935
2-075
H-74
0.180
1-935
2.075
14.74
0.170
1.830
1.966
14-45
0.142
I-53I
1.654
13-57
4284.838
0.180
1-935
2.075
14.74
0.180
1-935
2.075
14-74
0.170
1.829
1.965
14-45
0.142
I-53I
1.654
'3-57
4287.566
0.182
1-957
2.097
14.89
0.180
1-934
2.074
14-73
0.172
1.850
1.986
14.60
0.144
'•554
1.677
13-79
4288.310
0.182
1.956
2.096
14.88
0.181
1-943
2.083
14.78
0.170
1.829
1.965
14-45
0.143
1.540
1.663
I3-65
4289.525
0.181
1-945
2.085
14.80
0.181
1-944
2.084
14-79
0.171
1-837
1-973
14-51
0.144
1-554
1.677
'3-79
4290.377
0.180
1-935
2.075
14.74
0.180
I-93I
2.071
14.72
0.170
1.827
1.963
14-43
0.144
1-552
I-67S
13-77
4290.542
0.182
1-955
2.095
14.89
0.182
1-955
2.095
14.89
0.172
1.848
1.984
14-59
0.145
1.561
1.684
13.84
4291.630
0.182
1.954 2.094
14.88
0.182
1-954
2.094
14.88
0.172
1.847
1.983
I4-58
0.148
1-594
1.717
I4-I3
70 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate 105, — Continued. Measured by L. on T.
0 =
2g?4
<t> =
44?2
0 =
S9°3
0 -
74?3
A
r
» + »;
£
A
V
P + tlj
£
A
V
v + r,
1
A
»
» + !>!
£
km
km
0
km
km
0
km
km
0
km
km
0
4196.699
0.139
1-535
1-658
13-51
0.108
I.2OI
1.302
12.89
0.066
0.746
0.817
11.36
0.028
0-347
0-383
10.05
4197-257
0.138
1-524
1.647
13-43
0.108
I.2OI
1.302
12.89
0.068
0.767
0.838
11.65
0.028
0-347
0.383
10.05
4203.730
0.139
1-534
I-657
13-50
O.IIO
.219
1.320
13-07
0.067
0-754
0.825
11.47
0.026
0-337
0-373
9-79
4207.566
0.141
1-554
1.677
13.66
0.113
•253
1-354
13-41
0.067
0-754
0.825
11.47
0.027
0-347
0-383
10.05
4216.136
0.138
1.518
1.641
13-37
0.108
.194
1.295
12.82
0.068
0.763
0.834
"•59
0.027
0-347
0-383
10.05
4220.509
0.140
1-538
1.661
13-54
0.114
•259
1.360
13-47
0.069
0.770
0.841
11.68
0.028
0-354
0.390
10.23
4232-887
0.143
1.564
1.687
13-75
O.IIO
.209
1.310
12.97
0.068
0-759
0.830
ii-54
0.028
0-353
0.389
10.21
4233-328
0.142
1-552
1-675
13-65
0.113
.242
1-343
13-30
0.067
0.748
0.819
"•39
0.029
0-363
0-399
10.47
4257-815
0.143
1-554
1.677
13-66
0.113
•235
I-336
13.23
0.070
0.772
0.843
11.71
0.030
0-375
0.411
10.78
42.58-477
0.140
1.522
1.645
13.40
0.114
.244
1-345
13-32
0.070
0.772
0.843
11.71
0.031
0.390
0.426
II.I8
4265.418
0.142
1-538
1.661
13-53
0.115
•253
1-354
13-41
0.070
0.771
0.842
11.70
0.028
0-365
0.401
IO.52
4266.081
0.142
1-537
i. 660
13-52
0.117
•274
1-375
13.62
0.068
0.752
0.823
11.44
0.030
0.378
0.414
10.86
4268.915
0.142
i -S36
•659
13-51
O.I I 2
.218
I-3I9
13.06
0.070
0.770
0.841
11.68
0.028
0.364
0.400
10.49
4276.836
0.142
1-535
.658
13-50
O.II2
.217
1-3'S
13-05
0.070
0.770
0.841
11.68
0.029
0.376
0.412
10.81
4283.169
0.144
1-553
.676
13.66
O.II7
.268
1.369
13-56
0.070
0.770
0.841
11.68
0.029
0.376
0.412
10.81
4284.838
0.141
1.522
•645
13.40
0.116
.260
1.361
13-48
0.072
0-793
0.864
12.02
0.029
0.376
0.412
10.81
4287.566
0.142
i-53i
•654
13-48
0.116
2-59
1.360
13-47
0.072
0-793
0.864
I 2. 02
0.028
0-363
0-399
10.47
4288.310
0.143
1-542
-665
13-56
0.115
•247
1.348
13-35
0.070
0.770
0.841
11.68
0.028
0.363
0-399
10.47
4289.525
0.143
1-542
-665
13-56
0.117
.266
1.367
13-54
0.071
0.780
0.851
11.83
0.028
0-363
0-399
10.47
4290.377
0.142
1-53°
1-653
13-47
0.116
.256
1-357
13-44
0.070
0.769
0.840
11.67
0.028
0-363
0-399
10.47
4290.542
0.143
1.540
1.663
13-54
0.114
•234
1-335
13.22
0.073
0.801
0.872
12.13
0.030
0.388
0.424
II. 12
4291.630
0.145
1.561
1.684
13.72
0.118
.286
1-387
13-74
0.071
0-779
0.850
11.82
0.030
0.387
0.423
II. IO
Plate w 106. 1908, March 10, 7h 50"" G. M. T. Measured by L. on T. Distance from Limb 1.8 mm. Quality, good.
P-F
sec'n
O 349.9
-0.4
o-n 275.4
13-1
14.9
75-i
29-3
1.147
P 23.9
28.7
29.6
60.4
14-7
1.034
D -7.2
44-4
44-9
45-i
10.3
1.016
Diameter 171.6 mm
59-6
59-9
30.1
8.4
I. Oil
Factor 1.021
74-6
74-8
15-2
7-5
1.009
^
<t> =
I5°2
0 =
3°° i
<t> =
t5°i*
0 =
6o?4*
A
V
V+ »;
£
A
V
f + !>i
£
A
V
» + flj
£
A
V
11 + »!
t
s
km
km
0
km
km
0
km
km
0
km
km
0
4196.699
0.166
1.833
1.969
14.49
0.137
'•SIS
1-638
13-44
O.I I 2
1.248
1-347
13-55
0.064
0-737
0.806
11.58
4I97-257
0.166
1.832
1.968
14.48
0.139
•533
•656
13-59
0.108
1.204
I-303
13.11
0.064
0.727
0.796
11-45
4203.730
0.169
1. 860
1.996
14.67
0.140
•544
.667
13.68
O.II2
1.256
•355
13-63
0.066
0.747
0.816
11.72
4207.566
o.i 68
1.848
1.984
14.60
0.140
•543
.666
13-67
0.104
I-I55
•254
13.62
0.064
0-713
0.782
11.23
4216.136
0.166
1.822
1.958
14.41
0.138
•517
.640
13.46
0.108
.186
-285
12.93
0.068
0-755
0.824
11.84
4220.509
o.i 68
1-837
1-973
14.52
0.141
•548
.671
13-71
O.II2
•239
-338
13.46
0.068
0-754
0.823
11.83
4232.887
o.i 68
1.835
1.971
14.50
0.141
•541
1.664
13.65
0.106
.168
.267
12.75
0.064
0.707
0.776
11.14
4233-328
0.168
1-834
1.970
14.49
0.140
•530
i-*53
13-57
O.IIO
.212
•3"
13-19
0.066
0.740
0.809
11.62
4257-815
0.169
1-835
1.971
14.50
0.143
•554
1.677
13-75
O.II2
-237
-336
13-44
0.066
0.725
0.794
11.42
4258.477
0.170
1.843
1.979
14.56
0.142
•542
1.665
13-66
O.IIO
.204
•303
13.11
0.064
0.702
0.771
11.08
4265.418
0.169
1.828
1.964
14.46
0.141
•525
1.648
13-52
O.II4
•245
•344
13-52
0.066
0-734
0.803
n-54
4266.081
0.170
1.836
1.972
14.51
0.142
•534
1-657
13.60
O.II2
-234
•333
13-41
0.066
0-734
0.803
"•54
4268.915
0.170
I-835
1.971
14.50
0-143
•547
1.670
13-70
0.116
-254
•353
13.61
0.066
0-733
0.802
"•53
4276.836
0.170
1.834
1.970
14.49
0.141
.522
1.645
13-50
O.IIO
.198
.298
13-05
0.066
0.722
0.791
11.40
4283.169
0.169
1.820
1.956
14.40
0.142
i.53i
1.654
13-57
O.IIO
1.196
•295
13-03
0.066
0-730
0.799
11.49
4284.838
0.170
1.830
1.966
14.47
0.141
1.520
1.643
13.48
0.108
I.I74
•273
12.81
0.064
0.707
0.776
11.15
4287.566
0.172
1.850
1.986
14.61
0.143
1-542
1.665
13.66
O.II2
1.184
• 283
12.91
0.066
0.720
0.789
"•34
4288.310
0.170
1.830
1.966
14.47
0.142
1-533
1-656
13-59
O.II2
1.226
1-325
13-33
0.066
0.730
0.799
11.49
4289.525
0.171
1.840
1.976
14-54
0.143
1.540
1.663
13.64
O.II2
1.205
1.304
13.12
0.062
0.685
0-754
10.83
4290.37?
0.170
1.828
1.964
14-46
0.142
1-529
1.652
13-56
O.IlS
1.161
1.260
12.69
0.064
0.695
0.764
11.07
4290.542
0.171
1.839
1-975
14-53
0.142
1.528
1.651
13-55
0.116
1.247
I-346
13-54
0.064
0.705
0.774
II. 12
4291.630
0.172
1.848
1.984
14.60
0.144
i-SSO
1-673
13-72
0.116
1.247
1.346
13-54
0.064
0-705
0.774
II. 12
* Measured by A. on G.
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908.
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate <a 106 — Continued. Measured by L. On T.
\
*-7sV
0 = 45!!
0 = 6o°4
<t> = 7S?i
\
A
V
,+,,
1
A
V
» + »,
«
A
V
v 4- vl
«
A
V
, + .,
•
4196.699
0.030
km
0.377
km
0.411
n-35
0.108
km
1.189
km
1.288
12.96
0.058
km
0.656
km
0.725
e
10.65
0.028
km
0.351
km
0-38 =
10.63
4197.257
0.028
0.366
0.400
11.04
0.108
1.189
1.288
12.96
0.058
0.656
0.725
10.65
0.029
0.361
0-395
10.91
4203.730
0.032
0.400
0-434
11.98
O.I 08
1.196
1-295
13-03
0.058
0-655
0.724
10.64
0.029
0.361
0-395
10.91
4207.566
0.030
0.376
0.410
11.32
0.108
I-I95
1-295
13.02
0.060
0.676
0-745
10.80
0.030
0.369
0-403
11.13
4216.136
0.030
0-375
0.409
11.29
0.109
1.204
I-303
13.11
0.058
0-653
0.722
10.62
0.030
0.369
0.403
11.13
4220.509
0.036
0-437
0.471
13.00
0.108
1.188
1.287
12.95
0.060
0.672
0.741
10.71
0.031
0.380
0.414
11.44
4232.887
0.032
0.414
0.448 12.37
0.108
1.187
1.286
12.94
0.061
0.682
0.751
10.85
0.030
0.368
0.402
II. IO
4233-328
0.028
0-335
0.369
10.19
0.109
1.197
1.296
13.04
0.060
0.671
0.741
10.71
0.030
0.368
0.402
II. 10
4257-815
0.032
0.392
0.426
11.76
O.IIO 1.200
1.299
13-07
0.062
0.687
0.756
10.91
0.030 0.366
0.400
11.05
4258.477
0.032
0.392
0.426
11.76
O.IIO
i. 200
1.299
13-07
0.062
0.687
0.756
10.91
0.030 0.366
0.400
11.05
4265.418
0.028
0.360
0-394
10.88
0.108
1.176
1-275
12.83
0.062
0.687
0.756
10.91
0.031
0.376
0.410
11-33
4266.081
0.032
0-393
0.427
11.79
O.II2
1.219
1.318
13.26
0.061
0.677
0.746
10.78
0.032
0.386
0.420
1 1. 60
4268.915 1 0.030
0.370
0.404
11.15
0.109
1-185
1.284
12.92
0.062
0.686
o-755
10.90
0.032! 0.386
0.420
1 1. 60
4276.836
0.032
0.380
0.414
"•43
O.IO8 I.I74
1-273
12.81
0.062
0.686
0-755
10.90
0.031
0-375
0.400
11.30
4283.169
0.032
0-379
0.413
11.40
O.IIO: I.2O2
1.301
13.09
0.062
0.686
0-755
10.90
0.031
0-375
0.400
11.30
4284.838
0.032
0-379
0.413
11.40
O.lOg
1.181
1.280
12.95
0.063
0.696
0.765
11.13
0.032
0.386
0.420
1 1. 60
4287.566
0.032
0-379
0.413
11.40
O.IIO
1.193
1.292
13.00
0.062
0.685
0-754
10.89
0.032
0.386
0.420
n. 60
4288.310
0.032
0-379
0.413
11.40
O.IIO
1.192
1.291
12.99
0.062
0.685
0-754
10.89
0.032
0.385
0.410
11-57
4289.525
0.032
0.402
0.436
12.04
O.IIO
1.192
1.291
12.99
0.063
0.695
0.764
II. 12
0.032
0-385
0.410
n-57
4290-377
0.030
0.368
0.402
II. 10
O.IIO
1.190
1.289
12.97
0.060
0.661
0.730
10.72
0.030
0.364
10.99
4290.542
0.032
0.368
0.402
II. IO
O.II2
1. 212
1.311
13-19
0.063
0-693
0.762
II. 10
0.032
0.384
0.418
"-S5
4291.630
0.034
0.389
0.423
11.68
O.I I 2
1. 212
1.311
13-19
0.062
0.683
0.752
10.87
0.030
0.363
0-395
10.97
<t> = 45! i
0 = 6o°4
*-**
,
A
V
. + .,
«
A
V
M-,,
*
A
V
. + .,
•
4196.699
0.108
km
1. 201
km
1.300
13
08
0.062
km
0.703
km
0.772
11.09
0.028
km
0.351
km
0.385
10.63
4197-257
0.108
1. 201
1.300
13
08
0.062
0.703
0.772
11.09
0.030
0.376
0.410
II-33
4203.730
0.108
I.I98
•297
I3-05
0.063
0.713
0.782
11.24
0.030
0-373
0.407
11.24
4207.566
O.IIO
I.2I9
.318
13
26
0.063
0.711
0.780
II. 21
0.028
0-349
0.383
10.58
4216.136
O.IIO
I.2I5
-3H
13
22
0.064
0.720
0.789
"•34
0.028
0-349
0-383
10.58
4220.509
0.109
1.203
.302
13
IO
0.064
0.719
0.788
11.32
0.029
0-359
0-393
10.86
4232.887
O.IIO
I.2O9
.308
'3
16
0.065
0-730
0.799
11.48
0.029
0-359
0-393
10.86
4233-328
O.IIO
I.2O9
-308
13
16
0.067
0.750
0.819
11.77
0.030
0.371
0.405
11.19
4257-815
O.III
1. 212
•3"
13
19
0.066
0-734
0.803
n-53
0.032
0-393
0.427
11.79
4258.477
O.IIO
1. 201
.300
13.08
0.066
0-734
0.803
"•53
0.031
0.380
0.414
11.44
4265.418
O.IIO
I.2OO
.299
I3-07
0.067
0-743
0.812
11.67
0.029
0-354
0.388
10.72
4266.081
O.IIO
I.I99
.298
13
06
0.066
0.732
0.801
11.50
0.032
0-392
0.426
11.77
4268.915
O.III
I.2O7
.306
13
•14
0.066
0-731
0.800
11.48
0.030
0.365
0-399
11.02
4276.836
O.III
I.2O4
•303
13.11
0.066
0.730
0.799
11.47
0.032
0.392
0.426
11.77
4283.169
O.IIO
I-I93
.292
13
.00
0.067
0.740
0.809
11.63
0.031
0-379
0.413
11.41
4284.838
O.IIO
I.I94
•293
13
.01
0.066
0.729
0.798
11.46
0.032
0.391
0.425
11-74
4287.566
O.IIO
I.I94
•293
13
01
0.066
0.729
0.798
11.46
0.032
0.391
0.425
11.74
4288.310
O.II2
1.203
.302
13
.10
0.067
0.738
0.807
1 1. 60
0.032
0.391
0.425
11.74
4289.525
O.III
1.203
1.302
13
.10
0.067
0.738
0.807
1 1. 60
0.031
0.380
0.414
11.44
4290.377
O.IIO
I-I93
1.292
13.00
0.065
0.717
0.786
11.30
0.030
0.368
0.402
II. II
4290.542
O.II2
1. 212
1.311
I3-I9
0.066
0.728
0.797
11.44
0.030
0.368
0.402
II. II
4291.630
O.III
I.2OI
1.300
13-08
0.068
0.749
0.818
11.76
0.030
0.367
0.401
II.O9
* Measured by A. on G.
72 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate w 113. 1908, April 8, 7h 45™ G. M. T. Measured by A. on G. Distance from Limb 1.4 mm. Quality, good.
t-P
seci)
O 1 8.6
O-D 304.1
I P 26.5
D -6.0
Diameter 170.7 mm
Factor 1.017
0.0
13.0
14-3
75-7
25.0
1.103
28.7
29-3
60.7
12.3
1.024
44-9
45-2
44.8
8.6
1. 01 1
60.0
60.2
29.8
6.9
1.007
7S-o
75-i
14.9
6.2
i. 006
90.0
90.0
o.o
6.0
i. 006
<t> = o°o
, = ,4:9
0 = 2Q?8
A
V
V + fj
1
A
V
,+,,
1
A
'
, + ,,
k
4196.699
0.176
km
1.919
km
2.056
14.60
0.164
km
1.788
km
L923
14.12
0.136
km
1.487
km
I.6n
13-18
4197-257
0.180
1-973
2. no
14.99
o.i 66
1.820
1-955
14-37
0.140
1-529
I-653
13-56
4203.730
0.182
1.990
2.127
15.11
0.168
1.837
1.972
14.48
0.144
1-567
1.691
13.84
4207.566
0.180
1.967
2.104
14-95
0.164
1.804
1-939
14.24
0.140
1-532
1.656
13-58
4216.136
0.176
1.918
2.055
14-59
0.164
1.788
1.923
14.12
0.138
1.502
1.626
13-30
4220.509
o.i 80
1.960
2.097
14.89
0.172
1.862
1-997
14.68
0.144
1.562
1.686
13.81
4232.887
0.184
1.984
2. 121
15.06
0.172
1.876
2.OII
14.78
0.144
1-572
1.696
13.88
4233-328
0.180
1-951
2.088
14.83
0.166
I.8oo
1-935
14.21
0.136
1-479
1.603
13.12
0.184
1.971
2.108
14.98
0.174
1.863
1.998
14.68
0.146
1-566
1.690
13.84
4258.477
0.182
1.960
2.097
14.89
0.172
1.842
1.977
14-52
0.146
1-583
1.707
13-97
4265.418
0.184
1.987
2.124
15.09
0.170
1.827
1.962
14.41
0.148
1.588
1.712
14.01
4266.081
0.184
1.977
2.II4
15.02
0.172
1.849
1.984
14.58
0.146
1-573
1.697
13.89
4268.915
0.084
1-975
2. 112
15.01
0.172
1.857
1.992
14-63
0.148
1-587
1.711
14.00
4276.836
0.188
2.003
2.140
15.22
0.172
1.854
1.989
14.61
0.148
1.596
1.720
14.07
4283.169
0.184
1-977
2.II4
15.02
0.176
I.88I
i. 202
14.82
0.152
1.627
i-75i
14-31
4284.838
0.180
1-934
2.071
14.71
0.176
1-775
1.910
14.03
0.140
1.498
1.622
13-27
4287.566
0.184
1.966
2.103
14.94
0.170
1.816
I-95I
14-33
0.144
1.541
1-665
13.60
4288.310
0.184
1-954
2.091
14.85
0.176
1.879
1. 201
14.80
0.148
1-572
1.696
13.88
4289.525
0.184
1.965
2.IO2
H-93
0.172
1.848
1.983
14-57
0.146
1.562
1.686
13-91
4290.377
0.184
1-953
2.090
14.84
o.i 68
1.794
1.929
14.17
0.148
1.582
1.706
13.96
4290.542
0.184
1.964
2.IOI
14-93
0.172
1.836
1.970
14.47
0.144
i-5Si
1-675
13-72
4291.630
0.182
1.942
2.079
14.76
0.172
1.847
1.982
14.56
0.144
I-S5I
1-675
13-72
<t> = 44°8
0 = 60^7
0 = 7S!7
4196.699
0.104
J-I35
1.239
12-39
0.066
0.736
O.SlO
11.76
0.028
0-325
0.366
10-54
4197-257
0.108
1.202
1.306
13.06
0.066
0.725
0.799
n.6o
0.026
0.314
0-355
IO.22
4203.730
0.108
I.I76
1.280
12.80
0.068
0-745
0.8l9
11.89
0.024
0-303
0-344
9.92
4207.566
0.104
I-I53
1-257
12.57
0.066
0.723
0.797
"•57
0.024
0.302
0-343
9.88
4216.136
0.106
1.161
1.265
12.65
0.068
0-743
0.817
11.86
0.028
0-323
0.364
10.48
4220.509
0.108
I-I93
1.297
12.97
0.066
0.805
11.70
0.028
0.346
0.387
11.14
4232.887
0.116
1. 210
L3I4
13-14
0.064
0.706
0.780
11.23
0.028
0.321
0.362
IO.42
4233-328
0.108
I.lS?
1.291
12.91
0.064
0.718
0.792
11.50
0.024
0.300
0.341
9.82
4257-815
0.116
1-245
1-349
13-49
0.066
0.724
0.798
"•59
0.028
0-343
0.384
1 1. 06
4258.477
O.I 12
1. 212
1.316
13.16
0.066
0.724
0.798
"•59
0.028
0-332
0-373
10.74
4265.418
0.108
1.167
1.271
12.71
0.064
0.711
0.785
11.40
0.028
0.321
0.362
IO.42
4266.081
O.II2
1.220
I-324
13-24
0.064
0.711
0.785
11.40
0.028
0-331
0-372
10.72
4268.915
o.iio
I.lS?
1.291
12.91
0.068
0.742
0.816
11.85
0.030
0-352
0-393
11.31
4276.836
O.II2
1. 2O6
1.310
13.10
0.070
0.763
0.837
12.15
0.028
0.320
0.361
10.40
4283.169
0.108
1.161
1.265
12.65
0.068
0.751
0.825
11.98
0.028
0.340
0.381
10.97
4284.838
O.IIO
1.182
1.286
12.86
0.068
o.75i
0.825
11.98
0.028
0.330
0-371
10.68
4287.566
0.116
1.246
1-350
13-50
0.066
0.718
0.792
11.50
0.024
0.286
0-327
9.42
4288.310
O.IIO
1.182
1.286
12.86
0.068
0.728
0.802
11.65
0.026
0.307
0.348
10.02
4289.525
0.116
1-245
1-349
13-49
0.066
0.706
0.780
11.23
0.028
0.317
0-358
IO.3I
4290.377
O.II2
i. 202
1.306
13.06
0.064
0.706
0.780
11.23
0.026
0.296
0-337
9.71
4290.542
O.II2
1. 212
1.316
13.16
0.066
0.716
0.790
II-37
0.026
0.307
0.348
10.02
4291.630
O.II2
I.I90
1.294
12.94
0.068
0.728
0.802
11.65
0.024
0.296
0-337
9.71
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908.
73
TABLE n. — RESULTS TOR INDIVIDUAL PLATES. OBSERVATIONS or 1908 — Continued.
Plate w 113 — Continued. Measured by L. on T.
*-
o°o
*-
I4°9
*-
2Q°8
A
tl
• •Mi
«
A
V
M-i
«
A
'
V + V l
«
km
km
i
km
km
0
km
km
0
4196.699
0.175
1-934
2.071
14.70
0.162
.784
1.919
14.10
0.140
1-533
I-657
13-55
4197.257
0.177
1-935
2.072
14.71
o.i 66
.815
1-950
14-33
0.142
I-556
1. 680
13.74
4203.730
0.182
, 1-984
2. 121
15.06
o.i 68
•834
1.969
14.47
0.144
1-574
1.698
13.89
4207.566
0.179
.961
2.098
14.89
o.i 66
.810
1-945
14.29
0.144
•572
1.696
13.59
4216.136
0-177
.924
2.061
14-63
o.i 68
.827
1.962
14.41
0.145
.580
1.704
13.94
4220.509
0.179
•943
2.080
14-77
0.169
•835
•970
14.47
0-145
•577
1.701
13.92
4232.887
0.180
•947
2.084
14.79
0.172
.847
.982
14.56
0.145
•571
1.695
13.87
4233-328
0.180
•945
2.082
14.78
o.i 68
.817
•952
14-34
0.145
•570
1.694
13.86
4257-815
0.181
•953
2.090
14.84
0.169
-825
.960
14.40
0.146
1-574
1.698
13.89
4258.477
0.181
•945
2.082
14.78
0.171
.840
•975
14-5 I
0.146
I-57I
1.695
13.87
4265.418
0.181
•939
2.076
14-73
0.171
-8.34
.969
14.47
0.144
1.546
1.670
13.66
4266.081
0.180
•939
2.076
14-73
0.170
-825
.960
14.40
0-145
I-556
1.680
13-74
4268.915
0.180
•937
2.074
14.72
0.172
.846
.981
14-55
0.146
1.566
1.690
13.83
4276.836
0.181
•925
2.062
14.64
0.171
.827
.962
14.41
0-145
1-553
1.677
13.72
4283.169
0.181
•938
2-075
14-73
o.i73
.848
•983
14-57
0.144
1-539
1.663
13.61
4284.838
0.183
.948
2.085
14.80
o.i 68
.792
1.927
14.16
0.144
1-537
1.661
13-59
4287.566
0.182
•940
2.077
14.74
0.171
-823
1.9158
14-38
0.146
I-558
1.682
13.76
4288.310
0.182
.938
2-075
14-73
0.173
•843
1.978
14-53
0.145
1.548
1.672
13.68
4289.525
0.184
•958
2.095
14.87
0.169
.801
1.936
14.22
0.144
1-537
1. 66 1
13.59
4290.377
0.183
1.947
2.084
14.79
0.169
.801
1.936
14.22
0.147
1-567
1.691
13.83
4290.542
0.182
1-937
2.074
14.72
o.i75
.860
1-995
14.66
0.148
1-578
1.702
13.92
4291.630
0.183
1.948
2.085
14.80
0.173
.842
1.977
14.52
0.142
LSI4
1.638
13.40
*-
44^8
*-
60!?
#-
7S!7
4196.699
0.106
1.165
.269
12.69
0.064
0.712
0.786
11.42
0.024
0.288
0.329
9-47
4197-257
0.109
1.198
.302
13.02
0.063
0.701
0-775
11.25
0.026
0.309
0.350
10.07
4203.730
O.IIO
1.206
.310
13.10
0.065
0.721
o-795
11-55
0.027
0.319
0.360
10.36
4207.566
0.109
I-I95
•299
12.99
0.066
o-73i
0.805
11.69
0.026
0.307
0.348
IO.OI
4216.136
o.i 06
I-I59
.263
12.63
0.064
0.708
0.782
11.36
0.027
0.318
0-359
10.33
4220.509
0.108
1.179
.283
12.83
0.065
0.717
0.791
n-49
0.026
0.307
0.348
IO.OI
4232.887
O.IIO
1.196
.300
13.00
0.066
0-725
0.799
1 1. 60
0.028
0-332
0-373
10.74
4233-328
o.i 06
I-I53
1-257
12.57
0.067
o.737
0.811
11.78
0.028
0-332
0-373
10.74
4257-815
O.I II
i. 200
1.304
13-04
0.067
0.732
0.806
11.70
0.028
0.330
0-371
10.68
4258.477
O.I II
1.199
I.303
13-03
0.066
0.721
0-795
"•55
0.028
0-330
0-371
10.68
4265.418
O.IIO
1.188
1.292
12.92
0.065
0.710
0.784
"•39
0.026
0.308
0-349
10.04
4266.081
0.113
1.217
1.321
13.21
0.065
0.709
0.783
11.38
0.026
0.308
0-349
10.04
4268.915
O.II2
1.206
1.310
13.10
0.067
0.730
0.804
11.66
0.029
0-339
0-379
10.91
4276.836
O.I 12
1.204
1.308
13.08
0.066
0.718
0.792
11.50
0.028
0.328
0.369
10.62
4283.169
O.IIO
1-183
1.287
12.87
0.066
0.717
0.791
"•49
0.028
0.328
0.369
10.62
4284.838
O.IIO
1.182
1.286
12.86
0.066
0.716
0.790
11.48
0.029
0-339
0.380
10.93
4287.566
O.IIO
1.180
1.284
12.84
0.067
0.727
0.801
11.63
0.028
0.328
0.369
10.62
4288.310
O.IIO
1.179
1.283
12.83
0.066
0.717
0.791
11.49
0.029
0.338
0-379
10.91
4289.525
O.I I 2
i. 200
I-304
13.04
0.066
0.716
0.790
11.48
0.028
0.328
0.369
10.62
4290.37?
O.III
o.i 88
1.292
12.92
0.061;
0.705
0.779
11.32
0.026
0.307
0.348
IO.OI
4290.542
O.II2
1.199
I-303
13-03
0.068
0-735
0.809
n-74
0.028
0.328
0.369
10.62
4291.630
O.II2
1.199
13-03
0.066
0.716
0.790
11.48
0.029
0.338
0-379
10.91
74 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate a ii7r 1908, May 26, I2h om G. M. T. Measured by L. on T. Distance from Limb 1.6 mm. Quality, good.
*-*
7T
0
•n
sec))
o°6
°
0
0 6S-3
14.1
I4.I
75-9
4-7
1.003
O-O 350.1
29.6
29.6
60.4
2-3
I.OOI
P 17-4
45-4
45-4
44.6
1.6
i.ooo
D -1.8
60.6
60.6
29.4
1.4
I.OOO
Diameter 168.7 mm
75-6
75-6
14.4
1.2
I.OOO
Factor 1.019
90.6
0.6
-0.6
I.I
I.OOO
0 =
-ot«
0 =
M.%
0 =
2Q 4
,
A
»
, + „
*
A
V
. + „
'
A
V
1) -\- 1)
t
S
4196.699
0.173
km
1.887
km
2.021
14-35
0-159
km
1-735
km
1.868
13.69
0.138
km
I.507
km
1.632
1.3-30
4197-257
0.172
1.877
2.0II
14.28
o.i 60
1-745
1.878
13-77
0.138
1.506
1.631
I3-30
4203.730
0.176
I-9I5
2.049
14-55
0.163
1.762
1.895
13.89
0.142
1-545
1.670
13-61
4207.566
0.177
1.924
2.058
14.61
0.161
1-747
i. 880
13-78
0.142
•544
1.669
13.61
4216.136
0.175
1.898
2.032
14-43
0.161
1-745
1.878
13-77
0.139
.508
1-633
I3-3I
4220.509
0.178
1.928
2.062
14.64
0.163
1.764
1.897
13-91
0.140
•Si?
1.642
I3-38
4232.887
0.179
1.930
2.064
14.66
0.164
1.768
1.901
13-94
0.143
•543
1.668
13.60
4233-328
0.178
1.920
2.054
14.58
0.164
1.767
1.900
13-93
0.141
•522
1.647
13-43
4257-815
0.182
I-95I
2.085
14.80
0.168
1.797
1.930
14-15
0.145
•554
1-6-79
13.69
4258.477
0.179
1.918
2.052
14-57
0.165
1.766
1.899
13.92
0.144
•544
1.669
13.61
4265.418
o.i 80
1.924
2.058
14.61
o.i 66
.767
1.900
13-93
0.143
•528
1-653
13-47
4266.081
0.181
1-934
2.068
14.68
0.166
.776
1.909
13-99
0.146
.560
1.685
13-74
4268.915
0.180
1.920
2.054
14.58
0.166
.765
1.898
13-91
0.146
•559
1.684
13-73
4276.836
0.182
1.941
2.075
14-73
0.166
.765
1.898
13-91
0.143
•523
1.648
13-43
4283.169
0.178
1.896
2.030
14.41
0.167
•775
1.908
13-99
0.144
•532
1-657
13-Si
4284.838
0.181
1.924
2.058
14.61
0.166
.767
1.900
13-93
0.145
•542
1.667
13-59
4287.566
0.181
1.923
2.057
14.61
0.165
•743
1.876
13-75
0.144
•531
1.656
13-50
4288.310
0.182
1-934
2.068
14.68
0.165
•755
1.888
13.84
0.146
•552
1.677
13-67
4289.525
0.182
1-933
2.067
14.68
0.165
•755
1.888
13.84
0.146
•551
1.676
13-66
4290.377
0.182
1-933
2.067
14.68
0.165
•754
1.887
13-83
0.146
•550
1-675
13-65
4290.542
0.182
1.932
2.066
14.67
0.167
•774
1.907
13.98
0.147
.561
1.686
13-74
4291.630
0.184
1-954
2.088
14-83
0.166
0.764
1.897
13.90
0.148
•570
1.695
13.82
0 =
44?6
0 =
ao!4
0 =
,*
4196.699
0.108
1.178
1.285
12.82
0.068
0.741
0.822
11.82
0.029
0.307
0-355
10-35
4197-257
O.I 08
1.178
1.285
12.82
0.067
0.731
0.812
11.68
0.028
0.307
0-355
10-35
4203.730
0.108
I-I73
1.280
12.77
0.069
0.751
0.832
11.96
0.030
0.329
0-377
10.99
4207.566
O.IIO
1.194
1.301
12.98
0.073
0-793
0.874
12.57
0.029
0.318
0.366
10.67
4216.136
0.108
1.171
1.278
12-75
0.068
0.738
0.819
11.78
0.029
0.317
0-365
10.64
4220.509
O.IIO
1.190
1.297
12.94
0.070
0.758
0.839
12.07
0.030
0.327
0-375
10.93
4232.887
O.IIO
1.186
1.293
12.90
0.070
0-754
0.835
12.01
0.030
0-325
0-373
10.87
4233-328
O.II2
1.208
I-3'S
13.12
0.069
0-744
0.825
11.86
0.029
0.314
0.362
10.55
4257-815
O.II2
1. 201
1.308
I3-04
0.072
0.771
0.852
12.25
0.030
0.322
0.370
10.79
4258.477
O.II4
1. 221
1.328
I3-25
0.070
0.751
0.832
11.96
0.032
0.346
0-394
11.49
4265.418
O.I 1 1
I.I88
1-295
12.92
0.071
0.758
0.839
12.07
0.031
0-334
0.382
11.14
4266.081
0. 112
I.I97
1.304
13.01
0.071
0.758
0.839
12.07
0.032
0-344
0.392
"•43
4268.915
O.II3
1. 206
I.3I3
13.10
0.070
0.747
0.828
11.91
0.030
0.322
0.370
10.79
4276.836
O.I 1 1
I.I83
1.290
12.87
0.072
0.768
0.849
12.21
0.030
0.321
0.369
10.76
4283.169
O.II2
I.igi
1.298
12-95
0.070
0-745
0.826
11.88
0.029
0.310
0.358
10.44
4284.838
O.III
I.lSo
1.287
12.84
0.070
0-745
0.826
11.88
0.032
0-341
0.389
n-34
4287.566
O.II4
1. 212
1.319
13.16
0.071
0-755
0.836
I2.O2
0.030
0.321
0.369
10.76
4288.310
O.II3
I.2OI
1.308
13.04
0.072
0.765
0.846
12.17
0.032
0.341
0.389
II-34
4289.525
O.II2
I.I9I
1.298
12-95
0.071
0-755
0.836
I2.O2
0.030
0.320
0.368
10.73
4290.377
O.I 1 2
I.I90
1.297
12.94
0.073
0.776
0.857
12.32
0.030
0.320
0.368
10-73
4290.542
O.II4
1. 211
1-318
I3-I5
0.071
0-754
0-835
I2.OI
0.031
0-330
0.378
11.02
4291.630
O.II4
1. 211
1.318
I3-I5
0.072
0.764
0.845
12.15
0.031
0.330
0.378
1 1. 02
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908.
75
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate w 117.,. 1908, May 26, I2h onl G. M. T. Measured by L. on T. Distance from Limb 1.6 mm. Quality, good.
P-P
O
o-n
p
D
6S-3
350-8
17.4
— i.i
Diameter 168.7 torn
Factor 1.019
0.6
14.1
14.1
7S-9
4-7
.003
29.6
29.6
60.4
2-3
.001
45-4
45-4
44.6
1.6
.OOO
60.6
60.6
29.4
1.4
.OOO
75-6
75-6
14.4
1.2
.000
90.6
0.6
-0.6
I.I
.OOO
<t> = '
- o°6
0 =
14^4
0 =
2Q?4
X
A
V
• + »,
i
A
V
V + D,
f
A
t>
» + »,
i.
km
km
0
km
km
°
km
km
°
4196.699
0.174
1.898
2.032
14-43
O.I 60
1-745
1.878
13-77
0.138
.506
1.631
13-30
4197.257
0.173
1.887
2.021
14.36
o.i 60
1-745
1.878
13-77
0.138
.506
1.631
13-30
4203.730
0.176
I-9I5
2.049
14-51
0.162
1.760
I-893
13.88
0.142
•541
1.666
13-58
4207.566
0.177
1.924
2.058
14.61
0.162
I.7S8
1.891
13.86
0.141
•530
1-655
13-49
4216.136
0.175
1.898
2.032
14-43
0.162
1-757
1.890
13.86
0.140
•519
1.644
13.40
4220.509
0.176
1.907
2.041
14.49
0.162
1-755
1.888
13-84
0.142
1-538
1.663
13-56
4232.887
0.180
1.942
2.076
14.74
0.162
1-748
i. 88 1
13-79
0.143
1-544
1.669
13.61
4233-328
0.178
1.920
2.054
14.58
0.164
1.768
1.901
13-94
0.142
1-532
I-657
13-51
4257.815
0.180
1.929
2.063
14.65
0.165
1.768
I.QOI
13-94
0.144
1-538
1.663
13-56
4258.477
0.180
1.928
2.062
14.64
0.163
1-747
1. 880
13-78
0.144
J-537
1.662
13-55
4265.418
0.180
1.924
2.058
14.61
0.164
J-753
1.886
13-83
0.144
I-536
1.661
13-54
4266.081
0.181
1-934
2.068
14.69
o.i 66
1.769
1.902
13-94
0.144
1-535
i. 660
13-53
4268.915
0.181
1-933
2.067
14.68
0.167
1-783
1.916
14.05
0.145
1-545
1.670
13.61
4276.836
0.181
1.929
2.063
14.65
0.168
1.790
1.923
14.10
0.145
i -544
1.669
13.61
4283.169
0.182
1.936
2.070
14.70
o.i 66
1-765
1.898
13-91
o.!44
1-532
1-657
13-51
4284.838
0.182
1.936
2.070
14.70
0.168
1.786
1.919
14.07
0-143
•521
1.646
13-42
4287.566
0.180
I-9I3
2.047
J4-54
0.165
I-756
1.889
13-85
0.145
•543
1.668
13.60
4288.310
0.182
1-935
2.069
14.69
0.167
1.777
1.910
14.00
0.147
-564
1.689
13-77
4289.525
0.182
1-934
2.068
14.69
0.168
1.786
1.919
14.07
0.146
•552
1.677
13-67
4290.377
0.182
1-933
2.067
14.68
o.i 66
1.764
1.897
13-91
0.145
•541
1.666
13-58
4290.542
0.180
1.922
2.056
14.60
o.i 68
1.784
1.917
14.05
0.149
.582
1.707
13-91
4291.630
0.183
1.942
2.076
14-74
0.166
1.764
1.897
13-91
0.148
•572
1.697
13-83
(f> =
44°.6
0 =
6o!4
0 =
7S°.9
4196.699
0.108
.180
.287
12.84
0.069
0-753
0.834
11.99
0.029
0.317
0-365
10.64
4197.257
0.108
.181
.288
12.85
0.068
0.742
0.823
11.84
0.030
0.327
0-375
10.93
4203.730
O.IIO
•'93
.300
12.97
0.070
0.762
0.843
12.12
0.029
0.317
0-365
10.64
4207.566
0.109
.183
.290
12.87
0.068
0-739
0.820
11.79
0.031
0-335
0-383
ii. 16
4216.136
0.108
.172
.279
12.76
0.066
0.722
0.803
ii-SS
0.030
0-325
0-372
10.84
4220.509
O.IIO
.190
.297
12.94
0.069
0.748
0.829
11.92
0.030
0.325
0-372
10.84
4232-887
0.109
•177
.284
12.81
0.071
0.767
0.848
12.19
0.031
0-334
0.382
11.13
4233-328
O.IIO
.187
.294
12.91
0.070
0.756
0.837
12.04
0.029
0.314
0.362
10.55
4257-8IS
O.III
.189
.296
12.93
0.074
0.791
0.872
12.54
0.032
0-344
0-392
"•43
4258.477
O.III
.188
•295
12.92
0.072
0.770
0.851
12.24
0.032
0-343
0.391
"•39
4265.418
O.IIO
.178
-285
12.82
0.071
0.760
0.841
12.09
0.031
0-333
0.381
II. IO
4266.081
O.II2
1.194
.301
12.98
0.072
0.769
0.850
12.22
0.032
0-343
0.391
"•39
4268.915
O.II2
I-I93
•300
12.97
0.072
0.768
0.849
12.21
0.032
0-343
o.39i
"•39
4276.836
O.II2
I-I93
.300
12.97
0.071
0.758
0.839
I2.O7
0.032
0.342
0.390
"•37
4283.169
O.III
1.181
.288
12.85
0.072
0.770
0.851
12.24
0.032
0.342
0.390
"•37
4284.838
O.I 1 2
1.194
.301
12.98
0.072
0.769
0.850
12.22
0.032
0-344
0.392
"•43
4287.566
O.II2
I-I93
.300
12-97
0.073
0.779
0.860
12.36
0.033
0-354
0.402
11.72
4288.310
O.II3
1.203
.310
13-07
0.073
0-777
0.858
12-33
0.032
0-343
0-391
"•39
4289.525
O.I 1 2
1.191
.298
12.95
0.073
0.777
0.858
12-33
0.033
0-353
0.401
11.69
4290.377
O.II4
1. 211
.318
I3-I5
0.072
0.767
0.848
12.19
0.032
0-343
0.391
"•39
4290.542
O.II4
1. 211
-3l8
13-15
0.073
0.776
0-857
12.32
0.032
0-343
0-391
n-39
4291.630
O.II3
I.2OO
•307
13-04
0.074
0.786
0.867
12.47
0-033
0-352
0.400
11.66
76 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate w I20j. 1908, June 2, 3h iom G. M. T. Measured by L. on T. Distance from Limb 1.2 mm. Quality, good.
p — P T 0 T]
Q 71-7
12.7
12.7
77-3
1.6
i.ooo
0-0 357.2
26.2
26.2
63.8
0.8
1. 000
P 15-0
41.7
41.7
48.3
o-S
I.OOO
D -0.3
57-2
57-2
32.8
0.4
I.OOO
Diameter 168.0 mm
72.7
72.7
17-3
0.4
I.OOO
Factor 1.014
87.7
87.7
2-3
0.4
I.OOO
102.7
102.7
-12.7
0.4
I.OOO
»--.*
0 = 2?3
0 = i??3
A
'
ti + »j
I
A
V
. + „
«
A
11
V -f- V
f
4196.699
o.i 66
km
.802
km
1.932
14.06
0.175
km
1.894
km
2.028
14.41
0.158
km
•715
km
1.846
13-74
4197-257
o.i 66
.801
•931
14.05
0.176
1.904
2.038
14.48
0.158 .715
1.846
13-74
4203.730
o.i 66
.798
.928
14-03
0.175
1.893
2.027
14.40
0.161
•739
1.870
I3-92
4207.566
0.169
.825
•955
14-23
0.175
1.893
2.027
14.40
0.160
.728
1.859
13.84
4216.136
o.i 68
.813
•943
14.14
0.176
1.899
2-033
14.44
0.160
.726
1-857
13.82
4220.509
0.170
.832
.962
14.28
0.178
1.918
2.052
14.58
0.161
•735
1.866
13.89
4232.887
0.170
.825
•955
14-23
0.180
1.932
2.066
14.67
0.162
.740
1.871
13-93
4233-328
0.170
.825
•955
14-23
0.180
I-93I
2.065
14.67
0.164
•759
1.890
14.07
4257-815
0.173
.841
.971
14-34
0.180
1.912
2.046
14-54
0.162
•724
1.855
13.80
4258.477
0-173
.841
•97i
14-34
0.182
I-93I
2.065
14.67
0.162
•724
1.855
13.80
4265.418
0.172
.829
•959
14.26
0.182
1.930
2.064
14.66
0.163
•733
1.864
13.88
4266.081
0.173
.841
.971
14-34
0.182
1.928
2.062
14.65
0.160
.701
1.832
13.64
4268.915
0.174
.850
.980
14.41
0.180
1.909
2.043
14.51
0.164
•739
1.870
13.92
4276.836 0.169
•793
•923
13-99
0.180
1.908
2.042
I4-5I
0.165
1.746
1.877
13-97
4283.169
0.173
•830
.960
14.26
0.182
1.927
2.061
14.64
0.164
I-736
1.867
13.90
4284.838
0-173
•830
.960
14.26
0.182
I-925
2.059
14-63
0.164
1-734
1.865
13.88
4287.566
0.173
.829
•959
14.26
0.182
I-925
2.059
14.63
0.164
•734
1.865
13.88
4288.310
0.174
•843
•973
14-36
0.183
J-935
2.069
14.70
0.165
•743
1.874
13-95
4289.525
0.174
.841
.971
14-34
0.182
1.923
2.057
14.62
0.165
.742
1-873
13-94
4290-377
0-173
•830
.960
14.26
0.184
1-943
2.077
14.76
0.164
•732
1.863
13-87
4290.542
0.176
.860
.990
14.48
0.183
J-933
2.067
14.69
0.164
•732
1.863
13-87
4291.630
0.176
.860
.990
14.48
0.182
1.923
2.057
14.62
0.162
.712
1.843
I3-72
0 = 32°.&
0=48!3
0 = 63^8
0 = 7?!3
_
A
D
.+,,
f
A
V
, + ,,
1
A
•
•> + »,
*
A
'
. + ,,
«
4196.699
0.139
km
1.499
km
1.618
o
13-67
0.096
km
1.042
km
•143
12.20
0.051
km
0-555
km
0.628
IO.IO
0.026
km
0.282
km
0.32;
10.56
4I97-257
0.138
1.498
1.617
13.66
0.096
.042
•143
12.20
0-053
0-575
0.648
10.42
0.026
0.282
0.323
10.56
4203.730
0.140
1.516
1-635
13.81
0.098
.061
.162
12.40
0.052
0-563
0.636
10.23
0.027
0.292
0-335
10.88
4207.566
0.141
1.521
1.640
13-85
0.098
.061
.16:
I2.4O
0.052
0.562
0.635
IO.2I
0.027
0.291
10.85
4216.136
0.139
1.501
1.620
13-68
0.098
•057
•IS*
12.36
0.052
0.561
0.634
IO.2O
0.026
0.280
0-325
10.50
4220.509
0.141
1.520
1.639
13.84
0.102
.099
.2OC
12.81
0-053
0.570
0-643
10-34
0.025
0.270
0-315
10.17
4232.887 0.142
1-524
1.643
13.88
O.IOO
•073
.174
12.5.3
0-053
0.569
0.642
10-33
0.028
0.300
0-345
11.14
4233-328
0.142
I-S24
1-643
13-88
O.IOO
•073
.174
12-53
0.053
0-569
0.642
10-33
0.028
0.300
0-345
11.14
4257-815
0.144
1-535
1.654
13-97
O.IOI
•075
.176
12-55
0-053
0-565
0.638
IO.26
0.028
0.297
0.342
11.04
4258.477
0.142
1.511
1.630
13-77
0.102
-085
.l8«
12.66
0.052
0-555
0.638
10.26
0.027
0.287
0-332
10.72
4265.418
0.143
1.521
1.640
13-85
O.IOO
1.064
1.165
12.43
0.054
0-574
0.647
10.41
0.028
0.297
0.342
11.04
4266.081
0.144
I-525
1.644
13.89
0.103
1.095
I.I9<j
12.76
0.054
0-374
0.647
IO.4I
0.029
0.307
0.352
11-37
4268.915
0.144
1-525
1.644
13.89
O.IOI
1-073
I.I74
12.53
0-055
0-583
0.656
10-55
0.028
0.296! 0.341
1 1. or
4276.836
0.144
1-524
1.643
13.88
O.IOO
1.061
I.I62
12.40
0.053
0.562
0.635
10.21
0.028
0.296
o.34i
II.OI
4283.169
0.144
1-524
1.643
13.88
O.IOO
1.059
1.160
12.38
0.054
0.571
0.644
10.36
0.028
0.296
0.341
1 1. 01
4284.838
0.145
1-534
I-653
13.96
O.IO2
1.080
1.186
12.66
0.054
0.571
0.644
10.36
0.028
0.296
0.341
II. OI
4287.566
0.146
•544
1.663
14.04
O.IOO
1.058
.155
12.37
0-054
0.571
0.644
10.36
0.025
0.265
0.310
IO.OI
4288.310
0.146
•544
1.663
14.04
0.103
1.089
.190
12.70
0-053
0.560
0.633
IO.I8
0.028
0.295
0.340
10.98
4289.525
0.146
•543
1.662
14.04
0.103
1.089
.190
12.70
0.053
0.560
0.633
IO.I8
0.028
0.295
0.340
10.98
4290-377
0.146
•543
1.662
14.04
0.102
1.078
•i79
12.58
0-053
0.560
0-633
IO.I8
0.028
0.295
0.340
10.98
4290.542
0.146
•543
1.662
14.04
0.104
1.099
.200
12.81
0.055
0.580
0-653
10.50
0.027
0.285
10.66
4291.630
0.147
•553
1.672
14.12
0.104
1.099
.2OC
12.81
0.053
0.560
0-633
IO.I8
0.026
0.275
0.320
10.33
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908.
77
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate a 120.,. 1908, June 2, 3h iom G. M. T. Measured by L. on T. Distance from Limb 1.2 mm. Quality, good.
p — P TT <t> 1)
10.7
10.7
79-3
1.6
.000
Q 71.7
24.2
24.2
65.8
0.8
.000
o-n 357.2
39-7
39-7
50.3
0-5
.000
P 15-0
5S-2
55-2
34-8
0.4
.000
D -0.3
70.7
70.7
19-3
0.4
.000
Diameter 168.0 mm
85.7
4-3
o-4
.000
Factor 1.014
100.7
100.7
-10.7
0.4
.000
\
*--«*
*-A
4> = I9?3
A
A
'
f + »!
«
A
t>
f + »,
£
A
D
.+,,
1
4196.699
0.170
km
1.844
km
1-974
14.26
0.175
km
.900
km
2.034
14.48
0.156
km
•693
km
1.824
13-74
4197-257
0.170
1-844
1-974
14.26
0.176
.910
2.044
14-56
0.156
•693
1.824
13-74
4203.730
0.172
1.862
1.992
14-39
0.177
.916
2.050
14.60
0.159
.722
I-853
13.96
4207.566
0.173
1.872
2.002
14.46
0.176
.904
2.038
14-51
o.i 60
•731
1.862
14.02
4216.136
0.174
1.877
2.007
14-50
0.174
.878
2.OI2
14-33
0.157
•693
1.824
13-74
4220.509
0.176
I-897
2.O27
14-64
o.i So
.940
2.074
14-77
o.i 60
.719
1.850
13-93
4232.887
0.176
1.888
2.018
14-58
0.178
.910
2.044
14-56
0.159
•707
1.838
13-84
4233-328
0.174
1.867
1.997
14-43
0.178
.910
2.044
14-56
o.i 60
•717
1.848
13-92
4257-815
0.177
1.887
2.017
14-57
0.181
.918
2.052
14.61
0.161
.708
1.839
13-85
4258.477
0.176
1.876
2.OO6
14.49
0.180
.908
2.042
14-54
0.161
.707
1.838
13.84
4265.418
0.177
1.887
2.OI7
14.57
0.180
.904
2.038
14-51
o.i 60
•697
1.828
13-77
4266.081
0.177
1.886
2.016
14.56
0.181
.916
2.050
14.60
0.162
.716
1.847
13-91
4268.915
0.178
1.896
2.026
14.64
0.180
.906
2.040
14-53
0.162
•715
1.846
13.90
4276.836
0.176
1.867
1.997
14-43
0.180
•905
2.039
14-52
o.i 60
.694
1.825
13-75
4283.169
0.178
1.884
2.OI4
14-55
0.180
•904
2.038
14-51
0.162
•715
1.846
13.90
4284.838
0.179
1.894
2.024
14.62
0.181
.916
2.050
14.60
0.161
.704
1.835
13.82
4287.566
0.176
1.862
1-992
14-39
0.180
.904
2.038
14-51
0.162
.714
1-845
13-90
4288.310
0.179
1.893
2.023
14.62
0.180
•903
2.037
14.50
0.163
.724
1.855
13-97
4289.525
0.178
1.882
2.OI2
14-54
0.180
.902
2.036
14-50
o.i 60
•693
1.824
13-74
4290.377
0.178
1.882
2.012
14.54
0.179
.892
2.026
14-43
0.161
.704
1-835
13.82
4290.542
0.179
1.891
2.O2I
14.60
0.182
.922
2.056
14.64
0.163
.724
1.855
13-97
4291.630
0.179
1.891
2.O2I
14.60
0.180
.901
2-035
14.49
0.162
•712
1.843
13-88
0=34:8
.=50:3
*-6S:8
<t> = 79?3
A
V
t> + z>i
£
A
11
f + t>,
•
A
V
, + ,,
«
A
V
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£
km
km
0
km
km
0
km
km
o
km
km
0
4196.699
0.136
1-475
1-594
13.78
0.095
1.030
I.I28
12.54
0.057
O.62I
0.68?
"•93
0.019
0.206
0-245
9-37
4197-257
0.136
1.476
1-595
13-79
0.096
1.039
I-I37
12.64
0.058
0.630
0.698
12.09
0.019
0.206
0-245
9-37
4203.730
0.138
1.490
1. 60?
13-91
0.098
1.062
l.IOC
12.89
0.058
0.626
0.694
12.02
O.O2O
0.216
0-255
9-75
4207.566
0.138
1.488
1.605
13.89
0.098
1.061
1.159
12.88
0.058
0.626
0.694
12. 02
0.020
0.215
0.254
9.71
4216.136
0.136
1.467
1.58^
53.71
0.097
1.044
1.142
12.69
0.058
0.625
0.693
I2.OO
O.O2O
0.215
0.254
9.71
4220.509
0.139
1-493
1.61;
13-94
0.099
1.065
1.163
12.93
0.058
0.625
0.693
I2.OO
O.O2O
0.215
0.254
9.71
4232.887
0.140
1.502
1.621
14.01
0.099
1.063
1.161
12.90
0.058
0.623
0.691
11.97
0.020
0.215
0.254
9-71
4233-328
0.140
1.502
.621
14.01
0.098
1.052
1.150
12.78
0.056
0.601
0.669
"•59
0.019
0.204
0.243
9.29
4257-815
0.142
1-505
.624
14.04
O.IOO
1.067
1.165
12-95
0.060
0.639
0.707
12.24
O.O22
0.234
0-273
10.44
4258.477
0.140
1.483
.605
13-85
O.IOO
1.066
1.164
12.94
0.060
0.639
0.707
12.24
O.O2O
0.213
0.252
9.64
4265.418
0.141
1.492
.611
13-93
O.IOI
1.071
i.i6c
12.99
0.059
0.628
0.696
12.05
0.021
0.223
0.262
IO.O2
4266.081
0.141
1-492
.611
13-93
O.IOI
1.071
1.169
12-99
0.060
0-635
0.703
12. l8
O.O2O
0.213
0.252
9.64
4268.915
0.140
1.482
.601
13.84
0.099
1-053
1.151
12.79
0.060
0.635
0.703
12. l8
O.O2O
O.2I2
0.251
9.60
4276.836
0.142
I-503
.622
14.02
O.IOO
1-059
i-i57
12.86
0.060
0.635
0-703
12.18
0.021
0.223
0.262
IO.O2
4283.169
0.140
1.481
.6oc
13-83
O.IOO
1.059
I-I57
12.86
0-057
0-593
0.661
"•45
0.020
0.212
0.251
9-6o
4284.838
0.142
I-504
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14-03
O.IO2
1.079
1.177
13.08
0.059
0.625
0.693
I2.OO
O.O2O
O.2II
0.250
9.56
4287.566
0.141
1.492
.611
13-93
O.IOO
1.058
1.156
12.85
0.060
0.635
0.703
12.18
0.022
0.232
0.271
10.36
4288.310
0.142
1.502
.621
14.01
O.IO2
1.078
1.176
13-07
0.059
0.624
0.692
11.98
0.024
0-253
0.292
ii. 16
4289.525
0.141
1.491
.6ic
13.92
O.1O2
1.078
1.176
13-07
0.059
0.624
0.692
11.98
O.O24
0-253
0.292
u. 16
4290.377
0.140
1.480
1-599
13.82
O.IOI
1.067
1.165
12.95
0.058
0.615
0.683
11.83
0.022
0.232
0.271
10.36
4290.542
0.142
1.500
1.619
14.00
O.IOI
1.067
1.165
12.95
0.059 0.624
0.692
12.98
0.020
0.21 1
0.250
9-56
4291.630
0.142
1.500
1.619
14.00
O.IOO
1-057
12.84
0.062 0.616
0.684
11.83
O.O22
0.232
0.271
10.36
78 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE u. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate w I28r 1908, June 9, I2h 50™ G. M. T. Measured by L. on T. Distance from Limb 1.5 mm. Quality, good.
p-f
Q
Q-a
p
D
78.7
4-2
12. 1
0.6
Diameter 166.0 mm
Factor 1.018
0.5
15-5
iS-5
74-5
2.O
I.OOI
30-5
30-S
59-5
I.O
I.OOO
45-5
45-5
44-S
0.7
1. 000
60.5
60.5
29-S
0.6
i.ooo
75-5
75-5
14-5
0.6
I.OOO
90-5
9°-5
-o-S
0.6
I.OOO
0 =
-o!s
0 =
u:s
0 =
29!5
A
•
.-M,
i
A
t>
»+»,
«
A
V
. + .,
i
4196.699
0.174
km
1.897
km
2.031
14.42
0.164
km
1.787
km
.917
0
14.06
0.143
km
1.560
km
1.684
13-74
4197-257
0.174
.896
2.030
14.41
0.162
1.776
.906
13.98
0.144
1.569
1.693
13.81
4203-730
0.176
.914
2.048
14-54
0.164
1.778
.908
13-99
0.144
I-556
1. 680
13-70
4207-566
0.177
•923
2.057
14.61
0.163
1.768
.898
13.92
0-145
1.565
1.689
13-76
4216.136
0.175
.896
2.030
14.41
0.162
1-757
.887
13.84
0.145
I-565
1.689
13-76
4220.509
0.177
.910
2.044
14-51
0.165
1.782
.912
14.02
0.144
1-554
1.678
13-70
4232.887
0.177
.907
2.041
14.49
0.166
1.787
.917
14.06
0.145
1.564
1.688
13-78
4233-328
0.178
.918
2.052
14-57
0.166
1.787
.917
14.06
0.146
1-573
1.697
13-85
4257-8I5
0.182
•949
2-083
14.79
o.i 68
1-795
•925
14.12
0.148
1-574
1.698
13-85
4258.477
0.181
•935
2.069
14.69
0.169
i. 808
•938
14.21
0.146
1-554
1.678
13-70
4265.418
o.i 80
•923
2-057
14.61
0.167
1-777
.907
13.98
0.146
1-553
1.677
13.69
4266.081
0.182
•943
2.077
14-75
o.i 68
1.787
.917
14.06
0.147
1.564
1.688
13.78
4268.915
0.181
•929
2.063
14-65
0.167
1.779
.909
14.00
0.146
'•553
1.677
13.69
4276.836
0.181
.928
2.062
14.64
0.167
1-779
.909
14.00
0.146
1-552
1.676
13.68
4283.169
0.183
•945
2.079
14.76
0.170
1.810
•940
14-23
0.147
1.562
1.686
13-75
4284.838
0.182
•933
2.067
14.68
o.i 68
1.784
.914
14.04
0.146
1-550
1.674
13-67
4287.566
0.180
.912
2.046
14-50
0.169
1.794
.924
14.11
0.147
1.560
1.684
13-75
4288.310
0.181
•923
2.057
14.61
0.169
1-794
.924
14.11
0.148
i-S7o
1.694
13-83
4289.525
0.182
•932
2.066
14.67
o.i 68
1-783
•913
14-03
0.148
J-570
1.694
13-83
4290.377
0.181
.921
2-055
14-59
0.170
1.805
•935
14.19
0.146
1-549
1-673
13-65
4290.542
0.182
1-93'
2.065
14.66
0.169
1-793
•923
14.10
0.151
i. 60 1
1-725
14.08
4291-630
0.182
I-93I
2.065
14.66
0.169
1-793
1.923
14.10
0.149
1.581
1-705
13-91
0 =
44?S
0 =
S9?5
0 =
74!5
4196-699
0.105
1.146
.252
12.46
0.070
0.763
0.845
11.82
0.030
0.327
0-379
10.07
4197-257
o.i 06
1.155
.261
12.55
0.068
0.741
0.823
11.51
0.028
0.306
0.358
9-51
4203.730
0.108
1.171
.277
12.71
0.070
0.762
0.844
11.81
0.030
0.326
0-378
10.04
4207.566
0.108
1.171
•277
12.71
0.070
0.760
0.842
11.78
0.030
0.326
0-378
10.04
4216.136
o.i 06
1.149
•255
12.49
0.068
0-737
0.819
"•45
0.029
0.314
0.366
9.72
4220.509
0.108
1.166
1.272
12.66
0.070
0-758
0.840
"•75
0.030
0.325
0-377
IO.O2
4232.887
0.108
1.163
1.269
12.62
0.068
0-733
0.815
11.40
0.031
0-334
0.386
IO.25
4233-328
0.107
I-I53
1-259
12-53
0.068
0-733
0.815
11.40
0.030
0.323
0-375
9.96
4257.8I5
O.IIO
1.171
1.277
12.71
0.072
0.770
0.852
11.92
0.031
0-332
0.384
IO.2O
4258.477
0.108
1.151
1-257
12.51
0.071
0.760
0.842
11.78
0.032
0-342
0-394
10-47
4265.418
0.108
1.151
1-257
12.51
0.069
0-737
0.819
n-45
0.031
0-331
0-383
10.17
4266.081
0.109
1.161
.267
12. 6l
0.072
0-755
0.837
11.71
0.031
0-33'
0-383
10.17
4268.915
0.107
1-139
•245
12.39
0.072
0-755
0.837
11.71
0.030
0.320
0.372
9.88
4276.836
0.108
1.148
•254
12.48
0.070
0-745
0.827
"•57
0.032
0-340
0.392
10.41
4283.169
0.108
1.148
•254
12.48
0.070
0-745
0.827
"•57
0.031
0.329
0.381
IO.I2
4284.838
0.109
1.158
.264
12.58
0.069
0.736
0.818
11.44
0.030
0.319
0.371
9-86
4287.566
0.107
I-I39
•245
12.39
0.070
0-745
0.827
n-57
0.031
0.329
0.381
IO.I2
4288.310
o.i 08
1.148
-254
12.48
0.072
0.765
0.847
11.85
0.030
0.319
0.371
9.86
4289.525
0.108
1.147
•253
12.47
0.070
0-745
0.827
11-57
0.031
0.329
0.381
IO.I2
4290-377
0.108
1.147
•253
12.47
0.069
0-735
0.817
"•43
0.030
0.319
0.371
9-86
4290.542
0.109
1.156
.262
12.56
0.070
0-745
0.827
"•57
0.032
o-339
0-391
10.39
4291.630
0.109
1.156
.262
12.56
0.073
0-775
0.857
11.97
0.034
0.361
0-413
10.97
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908.
79
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate w 132. 1908, June 10, 8h 15™ G .M. T. Measured by L. on T. Distance from Limb, 1.4 mm. Quality, good.
sec')
0.6
O 79-5
10.6
10.6
79-4
3-4
i. 002
O-n 5.0
25.6
25.6
64.4
i-5
I.OOO
P 11. 7
40.6
40.6
49-4
I.O
I.OOO
D 0.7
55-6
55-6
34-4
0.8
I.OOO
Diameter 165.6 mm
70.6
70.6
19.4
0.6
I.OOO
Factor 1.017
85.6
85.6
4-4
0.6
i.ooo
0 =
4?4
0 -
IQ?4
<t> =
34?4
X
A
V
» + »!
1
A
V
t + »,
£
A
V
» + »[
f
km
km
o
km
km
«
km
km
0
4196.699
0.172
1.873
2.007
14.29
0.162
1.764
1.895
14.26
0-135
.469
1-588
13-66
4I97-2S7
0.172
1.873
2.007
14.29
0.161
1-753
.884
14.18
0.134
•459
1-578
13-58
4203.730
0.176
1.912
2.046
14-57
0.163
1.766
.89?
14.28
0.138
•500
1.619
13-93
4207.566
0.174
1.888
2.O22
14.40
0.162
1-755
.886
14.20
0.138
•497
.616
13-91
4216.136
0.174
1.883
2.OI7
14.36
0.161
1-743
.874
14.10
0-137
•485
.604
13.80
4220.509
0.176
1.903
2.037
14-5°
0.164
1-773
.904
14-34
0-137
.481
.600
13-77
4232.887
0.178
1.916
2.050
14.60
0.164
1-765
.896
14.27
0.136
•465
•584
13-63
4233-328
0.178
1.916
2.050
14.60
0.164
1-765
.896
14.27
0-137
•475
•594
13.72
42S7-8IS
0.177
1.893
2.O27
14-43
0.167
1-785
.916
14.42
0.138
.476
•595
13-73
4258-477
0.179
1.912
2.046
14-57
o.i 66
1-775
.006
14-34
0.138
•473
•592
13-7°
4265.418
0.179
1.910
2.044
14.56
o.i 66
1.770
.901
14-31
0.138
.468
•587
13.66
4266.081
O.I 80
1.920
2.054
14.63
o.i 66
1.770
.901
14-31
0.140
•493
.612
J3-87
4268.915
O.I 80
1.912
2.046
14-57
0.165
1.760
.891
14-23
0.138
.467
.586
13-65
4276.836
0.180
1.912
2.046
14-57
0.167
1-774
•90S
14-35
0.138
.466
•585
13-63
4283.169
0.179
i. goo
2-034
14.48
0.167
1-773
.904
14-34
0.139
.476
•595
13-73
4284.838
0.178
1.890
2.O24
14.41
o.i 66
1.762
•893
14-25
0-139
•475
•594
I3-72
4287.566
0.177
1.878
2.OI2
I4-32
0.167
1.771
.902
14-32
0.138
.464
.583
13.62
4288.310
0.178
1.888
2.022
14.40
0.165
•750
.881
14.17
0.139
•475
-594
13.72
4289-325
0.180
1.908
2.O42
14-55
0.167
.772
•9°3
J4-33
0.137
•453
•572
13-53
4290.377
0.178
1.887
2.O2I
14-39
0.167
.770
.901
14-31
0.139
•475
•594
I3-72
4290.542
0.180
1.908
2.O42
14-55
0.167
.770
.901
14-31
0.142
•505
.624
13.98
4291.630
0.177
1.876
2.0IO
I4-3I
0.168
.780
.911
14.38
0.141
•495
.614
13.89
0-
49?4
<t> =
64^4
<(> =
7Q?4
4196.699
0.097
.056
.1*
12.00
0.060
0.651
0.723
11.88
O.020
0.218
0.258
9.96
4I97-2S7
0.097
.056
•155
12. 6O
0.058
0.631
0.703
11.56
O.O2O
0.218
0.258
9.96
4203.730
O.IOO
.086
.I8S
12.93
0.060
0.651
0.723
11.88
O.O2O
0.217
0.257
9.92
4207.566
0.098
.062
.l6l
12.67
0.060
0.650
0.722
11.87
0.020
0.217
0.257
9.92
4216.136
0.098
.061
.160
12.66
0.060
0.649
0.721
11.84
O.Olg
0.208
0.248
9-57
4220.509
0.099
.068
.167
12.73
0.058
0.627
0.699
11.50
O.O2O
0.217
0.257
9-92
4232.887
O.IOO
.076
•175
12.82
0.060
0.646
0.718
11.80
0.020
0.216
0.256
9.88
4233-328
O.IOO
.076
•175
12.82
0.060
0.646
0.718
11.80
O.O2I
0.226
0.266
10.27
4257-815
0.099
.056
•155
12.60
0.06 1
0.652
0.724
11.90
O.O22
0.234
0.274
10.57
4258.477
0.099
•056
•155
12.60
0.060
0.638
0.710
11.68
O.O2I
0.224
0.264
10.19
4265.418
O.IOO
.063
.162
12.68
0.060
0.638
0.710
11.68
0.020
0.214
0.254
9.80
4266.081
O.IOI
•073
.172
12.79
0.059
0.630
0.702
"•54
O.O22
0.234
0.274
10.57
4268.915
O.IOI
•°73
.172
12.79
0.062
0.659
0.731
I2.O2
0.022
0.234
0.274
10.57
4276.836
0.099
•054
•153
12.58
0.060
0.638
0.710
n.68
0.021
0.224
0.264
10.19
4283.169
O.IOO
.062
.l8l
12.89
0.060
0.638
0.710
11.68
O.O2I
0.224
0.264
10.19
4284-838
O.IO2
.083
.182
12.90
0.060
0.638
0.710
11.68
O.O2I
0.224
0.264
10.19
4287.566
O.IOO
.061
.160
12.66
0.060
0.638
0.710
11.68
O.O22
0.234
0.274
10.57
4288.310
O.IO2
.083
.182
12.90
0.06 1
0.648
0.720
11.83
O.O2I
0.224
0.264
10.19
4289.525
0.103
•°93
.192
13.00
0.062
0.657
0.729
11.98
O.O2O
0.214
0.254
9.80
4290.377
O.IOO
i. 060
' -159
12.65
0.060
0.637
0.709
11.66
0.020
0.214
0-254
9.80
4290.542
O.IOI
1.070
.169
12.76
0.060
0.637
0.709
11.66
O.O2I
0.223
0.263
10.15
4291.630
0.102
1.081
.ISO
12.88
0.06 1
0.647
0.719
11.82
O.O22
0-233
0.273
10.54
8o AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS or 1908 — Continued.
[Plate w 134. 1908, June u, 3h om G. M. T. Measured by L. on T. Distance from Limb 2.5 mm. Quality, good.
P-P
secy
O
o-n
p
D
80.2
5-7
11.4
0.8
Diameter 168.0 mm
Factor 1.031
o-5
10.5
2S-S
10.5
25-5
79-5
64-S
4.0
i-7
1. 002
I.OOO
40.5
40.5
49-5
i.i
1. 000
55-5
55-5
34-S
o-9
I.OOO
70.5
85-5
70.5
85.5
I9-S
4-5
0.7
0.7
I.OOO
I.OOO
9°-5
Qo-S
-o-5
0.7
I.OOO
<t> = — °°.S
<t> = 4°.$
0 = IQ?5
A
ii
!) + !),
£
A
t
11 + II,
£
A
n
V + Zlj
I f
km
km
km
km
0
km
km
0
4196.699
0.171
1.888
2. 022
14-36
0.169
1.864
1.998
14-23
0.156
.721
1.852
13-95
4197-257
0.172
1.897
2.031
14.42
0.169
1.864
1.998
14-23
0.156
.721
1.852
13-95
4203.730
0.174
1.914
2.048
14-54
0.170
1.870
2.004
14.27
0.157
.727
1.858
13-99
4207.566
0.173
1.900
2-034
14-45
0.173
1.902
2.036
14.5°
0.158
•737
1.868
14.07
4216.136
0.174
1.907
2.O4I
14.49
0.169
1-855
1.989
14.16
0.156
.711
1.842
13-87
4220.509
0.174
1.905
2.039
14.48
0.172
1.883
2.017
14.36
o.i 60
•752
1.883
14 18
4232-887
0.176
1.918
2.052
14-57
0.174
I-OOS
2.039
14.52
o.i 60
•745
1.876
14-13
4233-328
0.175
1.908
2.O42
14-50
0.174
1.905
2-039
14.52
0.161
-756
1.887
14.21
4257-815
0.178
1.929
2.063
14-65
0.173
1.875
2.009
14-31
0.161
•745
1.876
14.13
4258.477
0.177
1.914
2.048
14-54
0.174
1.885
2.019
14.38
o.i 60
•735
1.866
14.05
4265.418
0.177
1.912
2.046
14-53
0-175
1.891
2.025
14.42
0.160
•731
1.862
14.02
4266.081
0.178
1.918
2.052
14-57
0.175
1.891
2.025
14.42
o.i 60
•731
1.862
14.02
4268.915
0.178
1.926
2.060
14.63
0.175
1.889
2.023
14.41
o.i 60
•730
i. 86 1
14.01
4276.836
0.179
1.916
2.050
14-55
0.174
1-875
2.009
14.31
0.161
•737
1.868
14.06
4283.169
0.178
1.914
2.048
H-54
0.174
1.871
2.005
14.28
0.158
•699
1.830
13-78
4284.838
O.I 80
1-932
2.O66
14.67
0.175
1. 880
2.014
14.34
o.i 60
.721
1.852
13-95
4287.566
0.178 '
1.912
2.046
14.53
0.175
1.880
2.014
14-34
0.160
.721
1.852
13-95
4288.310
0.177
1.903
2-037
14-47
0.174
1.870
2.004
14.27
0-159
.709
1.840
13.86
4289.525
0.177
1.902
2-036
14.46
0.175
1.880
2.014
14-34
0.161
i-73i
1.862
14.02
4290.377
0.177
1.902
2.036
14.46
0.171
1.869
2.003
14.26
0-159
1.708
1.839
13-85
4290.542
0.177
1.902
2.036
14.46
0-173
1.858
1.992
14.19
0.162
1-739
1.870
14.08
4291.630
0.176
1.891
2.025
14.38
0.175
1.878
2.OI2
14-33
0.161
1.728
1.859
14.00
\
<t> = 34°.S
<t> = 49°.S
<t> = &4!S
0 = 7Q?5
A
A
D
* + «,
£
A
2
ZI + D!
£
A
t
* + tl,
1
A
t;
» + »j
£
km
km
0
km
km
0
km
km
0
km
km
0
4196.699
0.130
•435
1-555
13.40
0.096
1.058
I-I57
12.65
0.057
0.629
0.701
11.56
0.019
O.2IO
0.250, 9.74
4197.257
0.131
•445
1.66;
13.48
0.096
1.058
I-I57
12.65
O.O58
0.619
0.691
11.40
0.022
0.242
0.282J 10.99
4203.730
0.132
•453
i-57;
13-55
0.096
1.056
I-I55
12.63
0.057
0.627
0.690
11.51
0.020
0.220
0.260
> 10.13
4207.566
0.130 .430
i-55<
' 13-35
0.097
1. 066
1.165
12.74
0.058
0.638
0.710
11.72
O.O2O
O.22O
O.2&C
> 10.13
4216.136
0.132
.446
i-56(
13-49
0.097
1.063
1.162
12.70
0.057
0.625
0.695
11.50
O.OI9
O.2O9
0.240
) 9-70
4220.509
0.131
•435
1-55;
13.40
O.IOO
1.096
I-I95
13.06
0.058
0.634
0.70^
11.64
O.O2O
0.219
0.851
) 10.09
4232.887
0.132
•440
1.560
> 13-44
0.098
1. 068
1.167
12.76
0.058
0-633
0.70;
11.62
0.019
0.208
0.24;
! 9.66
4233-328
0.132
•440
1.560
> 13-44
0.098
1. 068
1.16;
12.76
0.058
0.633
0.70;
11.62
O.OI9
O.2O8
0.24!
! 9.66
4257-815
0-133
•443
1-56;
13-47
O.IOO
1.085
1.184
12.94
0.059
0.639
0.711
"•73
O.O2O
0.217
0.25-
' 10.01
4258.477
0-133
.441
1.561
13-45
0.099
1.071
1.170
I 2. 80
0.059
0.639
0.711
"•73
0.021
0.227
0.26-
10.40
4265.418
0.132
.428
i-54i
13-34
0.099
1.071
1.170
12. 80
0.060
0.649
0.721
11.89
O.O22
0.237
0.27-
10.79
4266.081
0.134
.448
1.56!
! 13-51
0.098
1.059
l.lgt
12.66
O.o6o
0.649
0.721
11.89
O.O22
0.237
0.27-
10.79
4268.915
0.132
•425
i-54.
13-31
0.098
1.056
I-I55
12.63
O.O6O
0.649
0.721
11.89
O.O2O
0.216
0.25*
> 9-97
4276.836
0.131
.412
i-53
> 13.20
O.IOO
1.077
..XT*
12.85
0.059
0.637
o-7oc
11.70
O.O22
0.237
0.27-
10.79
4283.169
0-133
•431
i-S5
13-36
0.098
1-055
1-154
12.62
0.059
0.636
0.70!
11.69
O.O2O
0.216
0.25<
> 9-97
4284.838
0.134
•443
1-56.
! 13-47
0.098
1-055
1-154
12.62
O.o6o
0.646
0.71!
1 11.84
O.O2O
0.215
0.25.
9-93
4287.566
0-133
•430
i-55<
> 13-35
O.IOO
1.074
1-173
12.82
0.058
0.624
o.69<
i 1 1 .48
0.021
0.226
0.26(
) 10.36
4288.310
0.133
•430
i-55<
> 13-35
0.098
1-055
1-151
12.62
0.058
0.624
o.69(
11.48
O.O22
0.236
0.27<
> 10.75
4289.525
0.134
•440
i.5<x
> 13-44
O.IOO
1-073
1.172
12.81
O.o6o
0.644
o.7i(
> 11.81
O.02I
0.226
0.26(
> 10.36
4290.377
o.i34
•439
i-5S<
) 13-43
0.098
1-053
1-152
I 2. 60
0.059
0.634
o.7o(
) 11.64
0.020
0.215
0.25.
' 9-93
4290.542
0.134
•439
i-55<
> 13-43
0.098
1.052
1-151
12-59
0.058
0.623
0-69.
11.46
O.O22
0.236
0.27)
> 10.75
4291.630
0-135
•449
1.561
) I3-52
O.IOI
1.084
1.183
12-93
O.o6o
0.644
o-7i(
) 11.81
O.O2O
0.215
0.25.
' 9-93
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908.
8l
TABLE u. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate w 135,. 1908, June n, 4h 5om G. M. T. Measured by L. on T. Distance from Limb 2.1 mm. Quality, good.
p— P * <t> i seci
o-S
O 80.2
10.5
10.5
79-5
4.0
[.002
0-11 5.7
15.5
iS-S
74-5
2.7 i
.001
p 11.4
20.5
30.5
59-5
1.4
.000
D 0.8
45-5
45 -S
44-5
I.O
.000
Diameter 167.4 mm
60.5
60.5
29-5
0.8
.000
Factor i .026
75-5
75-5
14-5
0.7
.000
90-5
90-5
-o-5
0.7
.000
<t> = - °°.s
<t> = 14!$
<t> = 2p!s
X
A
V
f + f,
i
A
V
v + vl
£
A
t>
• + »,
£
4196.699
0-173
km
•899
km
2-033
0
14.44
0.162
km
1.779
km
.912
a
14.02
0.141
km
1-547
km
1.672
0
13-64
4197-257
0.174
.910
2.044
14.52
o.i 60
I-7S6
.889
13-35
0.140
1-537
1.662
13-56
4203.730
0.174
.908
2.042 I4-5O
0.164
1.796
.929
14-15
0.143
1-565
1.690
13-79
4207.566
0.174
.904
2-038
14.47
0.164
•793
.926
14.12
0-143
1-565
1.690
13-79
4216.136
0.177
•931
2.065
14.66
0.164
.790
•923
14.10
0.141
1-539
1.664
13-57
4220.509
0.176
1.918
2.052
H-57
0.166
.809
1.942
14.24
0.143
1-554
1.679
13-70
4232.887
0.178
1-933
2.067
14.67
0.164
.791
1.924
14.11
0.142
1-542
1.667
13.60
4233.328
0.179
1.942
2.076
14.74
o.i 68
.824
1-957
14-35
0.142
1-542
1.667
13.60
4257-815
0.180
1.938
2.072
14.71
0.169
-823
1.956
14-34
0.142
1.540
1.665
13-58
4258.477
0.180
1.936
2.070
14.70
0.170
-831
1.964
14.40
0-145
1-564
1.689
13-78
4265.418
0.178
I-9I5
2.049
14-55
0.170
.829
1.962
14-39
0.142
1-529
1.654
13-49
4266.081
0.182
1.963
2.097
14.90
o.i 68
.807
1.940
14-23
0.146
1-570
1.695
13-83
4268.915
0.182
1-953
2.087
14-83
0.170
.820
1-953
14-32
0-143
1-539
1.664
13-57
4276.836
0.180
1.928
2.062
14.64
0.169
.809
1.942
14.24
0.144
1-545
1.670
13.62
4283.169
0.182
1.949
2.083
14-79
o.i 68
1.798
i-93i
14.16
0.146
1.562
1.687
13.76
4284.838
0.180
1.926
2.060
14.63
0.170
1.818
i-95i
14-31
0.147
J-573
1.698
13-85
4287.566
0.181
1-935
2.069
14.69
0.171
1.829
1.962
14-39
0.144
1-542
1.667
13.60
4288.310
O.I 80
1-925
2.059
14.62
0.170
1.817
•950
14.30
0.146
1.561
1.686
13-75
4289.525
0.180
1.924
2.058
14.61
0.170
1.820
•953
14-32
0-145
i-SSi
1.676
13.67
4290.377
0.180
1.924
2-058
14.61
o.i 68
1-797
•930
14-15
0.144
1.540
1.665
13-58
4200.542
0.180
1.924
2.058
14.61
0.170
1.817
•950
14.30
0.146
1-553
1.678
13.69
4291.630
0.180
1-923
2.057
14.60
0.169
i. 806
•939
14.22
0.146
1-553
1.678
13.69
<t> = 44!s
0 = 59?5
0 = 74tS
<t> = 7o!s
A
V
» + »!
£
A
V
f + 1,
g
A
»
r + »j
£
A
V
f + t,,
I
km
km
•
km
km
a
km
km
o
km
km
o
4196.699
O.IO2
1. 122
1.228
12.22
0.060
0.667
0.748
10.46
0.029
0.319
0.370
9.83
O.O20
O.22O
o.26c
10.13
4197-257
0.103
I.I30
1.236
12.30
0.062
0.681
0.762
10.66
0.028
0.309
0.360
9-56
0.020
0.220
0.260
10.13
4203.730
0.104
I.I38
1.244
12.38
0.064
0.700
0.781
10.92
0.030
0.329
0.380
10.10
O.O2I
0.229
0.265
10.48
4207.566
O.IO4
1.136
1.242
12.36
0.063
0.690
0.771
10.78
0.029
0.318
0.360
9.80
O.O2I
0.219
0.255
10.09
4216.136
O.IO4
•134
I.24C
12.34
0.063
0.690
0.771
10.78
0.030
0.327
0-37*
10.05
0.019
0.208
0.24!
9.66
4220.509
0.106
.156
1.262
12.56
0.063
0.688
0.769
10-75
0.031
0-337
0.388
10.31
O.O2O
0.218
0.258
10.05
4232.887
0.106
•151
1-257
12.51
0.064
0.695
0.776
10.85
0.030
0.326
0-377
IO.O2
O.O2O
0.218
0.258
10.05
4233-328
0.106
•151
1-257
12.51
0.064
0.695
0.776
10.85
0.030
0.326
0-377
IO.O2
0.021
0.228
0.268
10.44
4257.815
0.105
.132
1.238
12.32
0.063
0.679
0.760
10.63
0.032
0-344
0-395
10.49
O.O2I
0.227
0.267
10.40
4258.477
0.108
.162
1.268
12.62
0.064
0.689
0.770
10.77
0.030
0-324
0-375
9-97
O.O2O
0.216
0.256
9-97
4265.418
0.105
.129
1-235
12.29
0.063
0.678
0.758
10.60
0.032
0-344
Q-395
10.49
O.O22
0.236
0.276
10.75
4266.081
0.107
•151
1-257
12.51
0.064
0.687
0.768
10.74
0.030
0.324
0-375
9-97
0.020
0.215
0.255
9-93
4268.915
0.108
.l6l
1.267
12. 6l
0.064
0.687
0.768
10.74
0.032
0-344
0-395
10.49
O.O22
0-235
0.275
10.71
4276.836
0.106
.136
1.242
12.36
0.064
0.687
0.768
10.74
0.031
0-334
0-385
10.23
O.O2I
0.225
0.265
10.32
4283.169
0.106
-134
1.240
12-34
0.066
0.707
0.788
1 1. 02
0.030
0.322
0-373
9.91
0.022
0-235
0-275
10.71
4284.838
0.106
•134
1.240
12-34
0.064
0.687
0.768
10.74
0.032
0-344
0-395
10.49
O.O2I
0.224
0.264
10.28
4287.566
0.107
.144
1. 250
12.44
0.064
0.687
0.768
10.74
0.031
0-334
0.385
10.23
O.O2I
O.224
0.264
10.28
4288.310
0.106
•133
1.239
12-33
0.066
0.707
0.788
1 1. 02
0.032
0-343
0.394 10.46
0.021
0.224
0.264
10.28
4289.525
0.108
•154
1.260
12-54
0.066
0.707
0.788
1 1. 02
0.030
0.321
0-372
9.88
0.020
0.213
0-253
9-85
4290.377
0.105
-123
1.221)
12.23
0.064
0.687
0.768
10.74
0.030
0.321
0.372
9.88
O.O2O
0.213
0.253
9.85
4290.542
0.104
•"3
I.2I5
12.13
0.066
0.705
0.786
10.99
0.032
0.342
0-393
10.43
0.020
0.213
0-253
9-85
4291.630
0.106
.132
1.238
12.32
0.066
0.705
0.786
10.99
0.030
0.321
0.372
9.88
0.022
0.234
0.274
10.69
8 2 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS or 1908 — Continued.
Plate w 135.,. 1908, June ii, 4h 50™ G. M. T. Measured by L. on T. Distance from Limb 1.8 mm. Quality, good.
p— P T- <t> i] secy
o-S
O 80.2
10.5
10.5
79-5
4.0
i. 002
G-n s-7
iS-5
iS-5
74-5
2.7
1. 001
p 11.4
30-5
3°-S
59-5
i-4
I.OOO
D 0.8
45-5
45-5
44-S
I.O
I.OOO
Diameter 167.4 mm
60.5
60.5
29-5
0.8
I.OOO
Factor 1.022
75-5
75-5
I4-S
0.7
I.OOO
90-5
90-5
-o-S
0.7
I.OOO
0 = - o?s
0 = I4!S
0 = 29°.S
X
A
V
. + *
1
A
D
. + .,
*
A
D
. + ,,
«
4196.699
0.171
km
1.872
km
2.006
14.24
0.161
km
1.762
km
1.895
13.90
0.141
km
1-542
km
1.667
13-60
4197-257
0.172
1.881
2.015
14-31
0.162
1.771
1.904
13.96
0.140
1-533
1-658
13-52
4203.730
0.172
i. 880
2.014
14-30
0.164
1.789
1.922
14.09
0.141
1-539
1.664
13-57
4207.566
0.172
1-875
2.009
14.26
0.164
1-783
1.916
14.06
0-143
1.560
1.685
13-75
4216.136
0.172
1.870
2.004
14.22
0.163
1-772
1.905
13-97
0.141
J-533
1.658
13-52
4220.509
0.175
1.900
2.034
14-43
0.164
1.781
1.914
14.04
0.143
1-553
1.678
13.69
4232.887
0.176
1.902
2.036
14-45
0.165
1.784
1.917
14.06
0.145
1.569
1.694
13.82
4233-328
0.174
1.881
2.015
I4-31
0.165
1.784
1.917
14.06
0.146
1-579
1.704
13.90
4257.815
0.179
1.923
2.057
14.60
0.170
1.827
1.960
14-37
0.146
1.566
1.691
13-79
4258.477
0.179
1.921
2-055
14-59
0.169
1.814
1-947
14.28
0-145
1-553
1.678
13.69
4265.418
0.178
1.908
2.042
14.50
0.170
1.824
1-957
14-35
0.146
1-563
1.688
13-77
4266.081
0.181
1.940
2.074
14.72
0.170
1.822
1-955
14-34
0.146
1-563
1.688
13-77
4268.915
0.179
1-913
2-047
14-54
0.171
1-825
1.958
14.36
0.146
1.561
1.686
I3-76
4276.836
0.179
1.911
2.045
14-53
0.170
1.814
1-947
14.28
0.145
i-SSo
1-675
1^.66
4283.169
0.180
1.919
2-053
14-57
0.170
1.813
1.946
14.26
0.147
1.569
1.694
13-82
4284.838
0-179
1.911
2.045
H-S2
o.i 68
1.791
1.924
14.11
0.145
1.546
1.671
13-63
4287.566
0.181
1.928
2.062
14.64
0.171
1.822
1-955
14-34
0.147
1.568
1.693
13.81
4288.310
0.179
1.901
2-035
14.46
0.171
1.822
1-955
14-34
0.148
1-577
1.702
13.88
4289.525
0.178
1.895
2.029
14-39
0.173
1-843
1.976
14.49
0.146
i-SSS
i. 680
I3-7I
4290.377
0.180
1.917
2-051
I4-S6
0.170
1.811
1-944
14.26
0.146
1-555
i. 680
I3-7I
4290.542
o.i 80
1.916
2.050
14-54
0.171
1.821
1-954
14-33
0.146
1-554
1.679
I3-70
4291.630
0.180
1.916
2.050
14-54
0.172
1.831
1.964
14.40
0.146
1-554
1.679
I3-70
0 = 44!S
0 = S9°S
0 = 74!s
0 = 79!s
A
•
, + ,,
«
A
>
, + ,,
«
A
V
» + »,
«
A
V
,+,,
t
km
km
0
km
km
„
km
km
0
km
km
0
4196.699
O.IO2
1.116
1.222
12. l6
0.060
0.659
0.740
10.35
0.030
0.329
0.380
IO.IO
0.019
0.209
0.249
9.70
4197-257
O.IO2
1.116
1.222
12. l6
0.060
0.659
0.740
10.35
0.029
0.319
0.370
9-83
0.019
0.209
0.249
9.70
4203.730
0.103
1.124
1.230
12.24
0.062
0.682
0.763
10.67
0.031
0.329
0.380
IO.IO
0.019
0.209
0.249
9.70
4207.566
0.104
I-I34
1.240
12.34
0.062
0.681
0.762
10.66
0.029
0.319
0.370
9-83
O.O2O
0.218
0.258
10.05
4216.136
O.IO4
1-132
1.238
12.32
0.06 1
0.669
0.750
10.49
0.029
0.318
0.369
9.80
0.019
0.207
0.247
9.62
4220.509
O.IO4
1.129
1-234
12.28
0.062
0.677
0.758
10.60
0.030
0.329
0.380
IO.IO
O.O2O
0.217
0.257
10.01
4232-887
0.106
1.146
1.252
12.46
0.062
0.674
0-755
10.56
0-030
0.326
0-377
IO.O2
O.OI9
0.206
0.246
9-58
4233-328
0.105
I-I35
I.24I
12.35
0.063
0.684
0.765
10.70
0.030
0.326
0-377
IO.02
0.020
0.216
0.256
9-97
4257.8I5
0.108
1.161
1.207
12. 6l
0.065
0.703
0.784
10.96
0.032
0.346
0-397
10-55
O.O22
0.236
0.276
10-75
4258.477
0.106
1.136
1.242
12.36
0.064
0.690
0.771
10.78
0.031
0.336
0.387
10.28
O.Oig
0.205
0.245
9-54
4265.418
0.104
1.115
1. 221
12.15
0.063
0.679
0.760
10.63
0.032
0-345
0.396
10.52
O.O2O
0.215
0.255
9-93
4266.081
0.107
1.144
I.25O
12.44
0.065
0.702
0-783
10.97
0.031
0-334
0-385
10.23
O.022
0.235
0.275
10.71
4268.915
0.108
I-I54
1.260
12.54
0.066
0.710
0.791
1 1. 06
0.032
0-344
0-395
10.49
O.O2I
0.225
0.265
10.32
4276.836
o.i 06
I-I34
1.240
12.34
0.066
0.708
0.789
11.03
0.032
0-343
0-394
10.47
O.O2I
0.225
0.265
10.32
4283.169
o.i 08
1.152
1.258
12.52
0.066
0.707
0.788
1 1. 02
0.031
0-333
0.384
10.20
O.020
0.215
0-255
9-93
4284.838
o.i 06
1.132
1.238
12.32
0.065
o.6g6
0.777
10.87
0.031
0-333
0.384
IO.2O
O.O2I
0.225
0.265
10.32
4287.566
0.108
"1-151
1-257
12.51
0.065
0.696
0.777
10.87
0.032
0-343
0-394
10.47
O.O2I
0.225
0.265
10.32
4288.310
0.107
1.140
1.246
12.40
0.064
0.685
0.766
10.71
0.031
0-333
0.384
10.20
O.020
0.215
0.255
9-93
4289.525
0.106
1.129
1-235
12.29
0.066
0.706
0-787
1 1. 01
0.031
0-333
0-384
IO.2O
O.O22
0.245
0.285
II. IO
4290.377
0.104
1.107
I-2I3
12.07
0.065
0.695
0.776
10.86
0.03 1
0-332
0-383
10. 1 8
O.O2I
0.225
0.265
10.32
4290.542
0.104
1.107
I.2I3
12.07
0.067
0.716
0-797
11.15
0.032
0.342
0-393
10.44
O.O2I
0.225
0.265
10.32
4291.630
0.103
1.097
1.203
11.97
0.067
0.716
0-797
11.15
0.032
0.342
0-393
10-44
0.022
0.229
0.269
10.48
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908.
Plate
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS or 1908 — Continued.
136. 1908, June n, sh 4om G. M. T. Measured by L. on T. Distance from Limb 1.8 mm. Quality, good.
P-P
seci;
0.5
O 80.3
10.5
10.5
79-5
4.0
i. 002
0-12 5.8
25-5
25-5
64-5
2.7
1. 000
P 11.4
4°-5
4°-S
49-5
1.4
i.ooo
D 0.8
55-5
55-5
34-5
I.O
I.OOO
Diameter 167.0 mm
70.5
70.5
19-5
0.8
I.OOC
Factor 1.022
85-5
85.5
4-5
0.7
I.OOO
9°-5
90-5
-o-S
0.7
I.OOO
#~*
*-*
*-*,
X
A
'
-. + ,,
«
A
'
. + ,,
*
A
V
, + .,
•
4196.699
0.172
km
1.882
km
2.016
14-31
o.i 66
kin
.819
km
1-953
13-91
0-156
km
•707
km
1.838
13.84
4197-257
0.172
1.882
2.016
I4-3I
0.167
.826
1.960
13.96
0.156
.707
1-838
13-84
4203.730
0.174
1.899
2-033
14.42
0.166
.814
1.948
13-87
0.156
•703
1.834
13.81
4207.566
0.174
1.896
2.030
14.40
0.167
.821
1-955
13.92
0.158
•723
1.854
13-97
4216.136
0.173
1.882
2.016
I4-3I
0.169
-839
1-973
14.06
0.157
•703
1-834
13.82
4220.509
0-175
1.896
2.030
14.40
0.171
•854
1.988
14.16
0.156
.692
1.823
13-73
4232.887
0-175
l-9°3
2-037
14.46
0.171
-851
1.985
14.14
0.158
.709
1.840
13-86
4233.328 O.I76
1.903
2.037
14.46
0-173
.870
2.004
14.27
0.158
.709
1.840
13.86
4257-815 o.iSo
1-935
2.069
14.69
0.174
.871
2-005
14.28
0.161
•727
1.858
13-99
4258.477 0.180
1.932
2.066
14.66
0.176
.891
2.025
14.42
o.i 60
•715
1.846
13.90
4265.418
0.180
1.930
2.064
14.65
0.174
-858
1.992
14.19
o.i 60
.712
1.843
13-88
4266.081
0.180
1.927
2.061
14-63
0.174
.856
1.990
14.17
0.161
.722
1-853
13.96
4268.915 0.180
1.924
2.058
14.60
0.175
-865
1.999
14.24
0-159
.702
1.833
13.81
4276.836 0.180
1.922
2.056
14-59
0-173
•845
1-979
14.10
0.162
•729
1. 860
14.01
4283.169
0.179
1.911
2.045
I4-52
0.172
•834
1.968
14.02
0.162
.728
1.858
13-99
4284-838
0.183
I-95I
2.085
14.80
0-175
.864
1.998
14-23
0.161
.717
1.848
13.92
4287.566
0.179
1.908
2.042
I4-50
0.172
.834
1.968
14.02
0.160
.707
1.838
13-84
4288.310
0.180
.917
2.051
I4-56
0.172
-832
1.966
14.01
0.163
•737
1.868
14.07
4289.525
0.178
.896
2.030
14.40
0.173
.844
1.978
14.09
0.162
.727
1.858
13-99
4290.377
0.180
.917
2.051
14.56
0-173
.844
1.978
14.09
0.162
•727
1.858
13-99
4290.542
0.182
•937
2.071
14.70
0.174
.852
1.986
14-15
0.162
.727
1-858
13-99
4291.630
0.181
•927
2.061
14.63
0.174
.852
1.986
14-15
0.163
•735
1.864
14.04
<f> = 34?S
<t> = 49?S
*-<«.
<t> - 79?S
X
A
V
.+3
•
A
V
..Hi
•
A
J)
, + r,
•
A
t)
. + -,
•
4196.699
0.128
km
1.400
km
I.52C
0
13.09
0.094
km
1.028
km
.12;
12.32
0.052
km
1.569
km
0.641
10.57
O.022
km
0.240
km
0.280
O
10.91
4197-257
0.128
1.400
I-52C
13-09
0.094
1.028
.125
12.32
0-052
1.569
0.641
10.57
0.020
0.220
0.260
IO.I2
4203.730
0.130
1.420
I-S4C
13-27
0.098
1.065
12.72
0.052
I-567
0.635
10.54
O.O2O
0.219
0.255
10.10
4207.566
0.130
1.417
1-537
13-24
O.IOI
I.IO2
.201
13-13
0-054
1-590
0.66;
10.92
O.O2I
0.029
0.265
10.48
4216.136
0.128
1.392
1.515
13-03
0.097
I.O52
•151
12.58
0.051
1-555
0.62;
10.34
0.020
0.219
0.25?
io.ro
4220.509
0.132
I-43I
13-36
0.099
1.070
.165
12.78
0.054
1-588
o.66c
10.88
O.O2I
0.228
0.268
10.44
4232.887
0.132
1.428
1.54?
13-34
0.097
1.048
.14;
12.54
0.054
1-585
0.655
10.83
O.O2O
0.218
0.258
10.06
4233.328
0.132
1.428
i- 54^
13-34
0.097
1.048
•147
12.54
0-053
1-574
0.646
10.65
0.020
0.218
0.258
10.06
4257-815
0.134
1.440
i-56c
13-44
O.IOO
1.074
1.171
12.82
0.054
1.580
0.652
10.76
O.O22
0.236
0.276
10.75
4258.477
0-134
J-439
1.555
13-43
0.098
I.O52
1.151
12.58
0.054
1-579
0.651
10.74
O.O2O
0.216
0.256
9-97
4265.418
0-134
1-437
1-55!
13-41
0.099
I. O6 1
i.i6c
12.68
0-055
1.589
0.661
10.90
0.022
0.236
0.276
10.75
4266.081
0.134
1-435
i-ss:
13-40
O.IOI
I.oSl
i.iSc
12.90
0-054
1-579
0.651
10.74
O.O22
0-236
0.276
10.75
4268.915
0-135
1.441
1.561
13-45
O.IOO
I.O7O
1.165
12.78
0-055
1.589
0.661
10.90
O.O22
0.236
0.276
10.75
4276.836
0-135
1.441
1.561
13-45
O.IOO
1. 068
1.16;
12.76
0.056
1-599
0.671
11.07
O.O2O
0.216
0.256
9-97
4283.169
0-134
1.431
1-551
13-36
O.IOO
1. 066
.16 =
12.74
0.056
1.596
11.02
0.022
0.236
0.276
10-75
4284.838
0-135
1.446
1-566
13-49
0.099
1-057
• 156
12.64
0-056
1.596
o.66f
1 1. 02
O.O2O
0.214
0.254
9.90
4287.566
0-134
1-551
13-36
0.098
1.046
12.52
0.056
1-595
0.66;
II.OO
0.021*
0.225
0.265
10.32
4288.310
0.136
1.449
1-565
13-52
O.IOO
1.065
12.72
0-053
1-564
0.636
10.48
0.022
0.235
0.275
10.71
4289.525
0-135
1.441
1-561
13-45
O.IOO
1.064
!i6;
12.71
0-055
1.607
0.675
II. 2O
O.O2I
0.225
0.265
10.32
4290.377
0-134
I-43I
i-55i
13-36
0.099
1-054
12.60
0.056
1-597
0.665
11.04
O.O2O
0.214
0.254
9.90
4290.542
0.136
1.448
1-568
13-51
0.098
1.044
1-145
12-49
0.056
J-597
0.665
11.04
0.020
0.214
0.254
9.90
4291.630
0.136
1.449
1.565
13-52
0.099
1-053
1.155
12-59
0.058
1.607
0.675
II. 2O
O.O22
0.235 0.275
10.71
84 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS or 1908 — Continued.
Plate w 146. 1908, Aug. 5, 9h 50"" G. M. T. Measured by L. on T. Distance from Limb 1.3 mm. Quality, good.
P-P
seer)
-0-3
O 133.0
13.2
14.6
7S-4
2S-3
.106
O-Si 58.5
28.7
29-3
60.7
12.7
.025
p -12.7
44.2
44-5
45-S
8.8
.012
D 6.2
59-7
59-9
30.1
7.2
.008
Diameter 168.6 mm
74-7
74.8
15.2
6.4
.006
Factor 1.016
89.7
89.7
0-3
6.2
.O06
0 =
ota
0 =
**
0 =
3*
A
tl
, + ,,
«
A
V
, + ,,
»
A
•
. + ,,
1
4196.699
0.171
km
1.872
km
2.006
14.24
0.164
km
1.794
km
1.926
14.17
0-139
km
•525
km
.646
13-51
4197-257
0.172
1.881
2.015
I4-3I
0.165
1.804
1.936
14.24
0.140
•533
•654
13-57
4203.730
0.173
1.887
2.021
14-35
0.166
1.810
1.942
14.29
0.140
•530
.651
13-55
4207.566
0.170
1.854
1.988
14.11
0.165
1.798
1.930
14.20
0.142
•551
.672
13.72
4216.136
0.172
1.870
2.004
I4-23
0.165
1-794
1.926
14.17
0.141
•535
.656
13-59
4220.509
0-173
1.879
2.013
14.29
o.i 66
.802
1-934
14-23
0.140
•523
.644
13-49
4232-887
0.176
1.904
2.038
14.47
0.167
-805
•937
14-25
0.141
•529
• 650
13-54
4233-328
0.177
1.914
2.048
14-54
0.167
.805
•937
14-25
0.142
•538
•659
13.61
4257-815
0.178
I-9I3
2.047
14-53
0.169
-815
•947
14-32
0.144
•546
.667
13.68
4258.477
0.177
1.902
2.036
14-45
0.167
.791
•923
14-15
0.143
-536
.657
13.60
4265.418
0.178
1.901
2-035
14-45
0.168
.800
•932
14.21
0.143
-536
.657
13.60
4266.081
0.179
1.918
2.052
14-57
0.170
.819
•951
14-35
0.143
-536
•657
13.60
4268.915
0.180
1.927
2.061
14-63
0.168
•799
.931
14.21
0.143
•535
.656
13-59
4276.836
0.178
1.898
2.032
14.42
0.168
•794
.926
14.17
0.144
•538
-659
13.61
4283-169
0.178
1.897
2.031
14.42
0.170
.812
•944
14-30
0.144
•538
•659
13.61
4284.838
0.179
1.907
2.O4I
14.49
0.168
•792
•924
14-15
0.143
•527
1.648
I3-52
4287.566
0.177
1.886
2.020
14.34
0.170
.812
1.944
14-30
0.143
-526
1.647
I3-52
4288.310
0.178
1.895
2.029
14.40
o.i 68
•790
1.922
14.14
0.147
•570
1.691
13.88
4289-525
0.177
1.885
2.OI9
14.33
0.170
.810
1.942
14.29
0-143
-530
1.651
13-55
4290.37?
0.178
1.896
2.030
14.41
0.171
.820
1-952
14-36
0-143
-528
1.649
13-53
4290.542
0.179
1.905
2.039
14.48
0.169
.798
1.930
14.20
0.144
•537
1.658
13-61
4291-630
0.178
1.894
2.028
14.40
o.i 68
.790
1.922
14.14
0.146
•557
1.678
13-77
0 =
«*,
0 =
6°!?
0 =
7St4
4196.699
0.105
I-I55
1.256
12.72
0.059
0.652
0.725
10.53
0.028
0-337
0-377
10.62
4197-257
0.105
i-iSS
1.256
12.72
0.059
0.652
0-725
10.53
0.030
0.361
0.401
11.29
4203-730
o.i 06
1.163
1.264
1 2. 80
0.063
0.698
0.771
1 1. 20
0.032
0.382
0.422
11.88
4207.566
o.i 06
1.162
1.263
12-79
0.062
0.685
0.758
II.OI
0.030
0.360
0.400
11.27
4216.136
0.106
1.156
1-257
12.73
0.062
0.683
0.756
10.98
0.029
0.348
0.388
10.93
4220.509
0.106
i-iS5
1.256
12.72
0.062
0.683
0-756
10.98
0.030
0-358
0.398
II. 21
4232-887
0.106
1-254
12.70
0.062
0.683
0.756
10.98
0.031
0.369
0.409
11-52
4233.328
0.108
•175
1.276
12.92
0.064
0.705
0.778
11.30
0.030
0-357
0-397
ii. 18
4257-815
0.108
.168
1.269
12.85
0.064
0.701
0.774
11.24
0.032
0.376
0.416
11.72
4258.477
0.109
.174
1-275
12.91
0.064
0.698
0.771
ii. 20
0.031
0.365
0.405
11.41
4265.418
0.107
•153
1.254
12.70
0.064
0.698
0.771
ii. 20
0.032
0.376
0.416
11.72
4266.081
O.IIO
.186
1.287
13.04
0.063
0.688
0.761
11.05
0.031
0-365
0.405
11.41
4268.915
0.109
.172
1.273
12.89
0.064
0.695
0.768
11.15
0,032
0-375
0.415
11.69
4276.836
0.107
.150
1.251
12.67
0.064
0.695
0.768
11.15
0.030
0.352
0.392
11.04
4283.169
0.108
•159
1.260
12.76
0.063
0.684
0-757
10.99
0.031
0.364
0.404
11-38
4284.838
0.108
.158
1-259
12.75
0.062
0.675
0.748
10.86
0.033
0.386
0.426
12.00
4287.566
0.108
•157
1.258
12.74
0.062
0.675
0.748
10.86
0.031
0-363
0.403
"•35
4288.310
O.IIO
.178
1.279
12.95
0.064
0.694
0.767
11.14
0.032
0-375
0-415
11.69
4289.525
0.108
.170
1.271
12.87
0.062
0.674
0.747
10.85
0.031
0.363
0.403
"•35
4290.377
0.109
.179
1.280
12.96
0.06 1
0.663
0.736
10.69
0.030
0-352
0.392
11.04
4290.542
0.108
.168
1.269
12.85
0.063
0.683
0.756
10.98
0-033
0.386
0.426
12. OO
4291-630
0.108
1.167
1.268
12.84
0.060
0.651
0.724
10.51
0.030
0.392
11.04
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908.
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate <» 147. 1908, Aug. 5, ioh 30™ G. M. T. Measured by L. on T. Distance from Limb 1.5 mm. Quality, good.
P-f
seci
-0.3
0
i33-o
13.2
14.6
754
25-3
1.106
O-n
S8.S
28.7
29-3
60.7
12.7
1.025
p
-12.7
44.2
44-5
45-S
8.8
I.OI2
D
6.2
59-7
59-9
30.1
7.2
1.008
Diameter
168.6 mm
74-7
74.8
15-2
6.4
1. 006
Factor
1.018
89.7
89.7
0-3
6.2
I. OO6
<t> =
°°3
0 =
is!*
0 =
3°!i
A
V
"» + »!
£
A
r
fl + »l
£
A
V
11 + 11l
{
4196.699
0.174
km
I-905
km
2.039
14.48
0.164
km
1.796
km
1.928
14.18
O.H3
km
1.568
km
1.689
13-86
4I97-257
0.174
I-905
2.039
14.48
0.165
1. 806
1.938
14.26
0.143
.568
1.689
13.86
4203.730
0.075
1.912
2.046
H-53
0.167
1-825
1-957
14.40
0.144
•578
1.699
13-94
4207.566
0.176
I.92I
2-055
M-59
0.168
1.833
1.965
14.46
0.144
•574
1.695
13-91
4216.136
0-175
I-905
2.039
14.48
o.i 66
1.807
1-939
14.26
0.143
•554
I.675
13-75
4220.509
0.176
I-9H
2.048
14-54
o.i 68
1.827
1-959
14.41
0.145
•574
1.695
I3-9I
4232.887
0.177
I-9I7
2.051
14.56
0.168
1.820
1.952
14.36
0-145
•573
1.694
13.90
4233-328
0.178
1.927
2.061
14.63
0.168
.819
I-95I
14-35
0.144
•562
1.683
13.81
4257-8I5
0.179
1-925
2.059
14.62
0.170
.828
1.960
14.42
0.146
•570
1.691
13.88
4258.477
0.178
I-9H
2.048
14-54
0.170
.828
1.960
14.42
0.146
i-57o
1.691
13-88
4265.418
0.179
1.922
2.056
14.60
0.173
.856
1.988
14.62
0.146
1.569
1.690
13-87
4266.081
0.180
I-93I
2.065
14.06
0.170
.825
1-957
14.40
0.144
1-542
1.663
13-65
4268.915
0.178
1.908
2.042
14.50
0.170
.823
1-955
14.38
0.148
-583
1.704
13.98
4276.836
0.179
1.916
2.050
14-55
0.171
.826
1.958
14.40
0.146
-562
1.683
13.81
4283.169
0.180
1.921
2-055
14-59
0.171
.826
1.958
14.40
0.145
•551
1.672
I3-72
4284.838
0.180
1.920
2.054
14.58
0-173
.847
J-979
14.56
0.146
.565
1.686
13.84
4287.566
0.181
1-930
2.064
14.65
0.172
.835
1.967
14.47
0.146
-564
1.685
I3-83
4288.310
0.180
1.919
2-053
14.58
0-173
.846
1.978
14-55
0.145
•554
1-675
13-74
4289.525
0.181
1.929
2.063
14.65
0.174
.856
1.988
14.63
0.148
.581
1.702
13-97
4290.377
0.180
1.919
2-053
14.58
0.170
.812
1-944
14-30
0.146
•562
1.683
13-81
4290.542
0.180
1.918
2-052
14-57
0.171
.822
1-954
14.38
0.145
•552
1-673
13-73
4291.630
0.180
1.918
2-052
14-57
0.172
1.832
1.964
14-45
0.148
.580
1.701
13.96
0 =
4s!s
0 =
6o!7
<t> =
7S?4
4196.699
O.IO2
-132
1-233
12.49
0.062
0.689
0.762
11.07
0.029
0-349
0.389
10.96
4I97-257
O.IO4
-145
1.246
12.62
0.062
0.689
0.762
11.07
0.030
0.358
0.398
II. 21
4203.730
0.106
.164
1.265
12.81
0.063
0.698
0.771
n. 20
0.030
0-357
0-397
ii. 18
4207.566
0.106
.163
1.264
12.80
0.063
0.698
0.771
11.20
0.030
0-357
0-397
ii. 18
4216.136
0.107
.171
1.272
12.88
0.063
0.697
0.770
II.I8
0.029
0-347
0.387
10.90
4220.509
0.106
•157
1.258
12.74
0.063
0.697
0.770
ii. 18
0.032
0-379
0.419
11.80
4232-887
0.106
.156
1-257
12-73
0.063
0.697
0.770
11.18
0.030
0-354
0-394
II. IO
4233-328
0.108
.176
1-277
12.93
0.066
0.727
0.800
11.62
0.030
0-354
0-394
II. IO
4257-8I5
0.109
.179
1.280
12.96
0.066
0.719
0.792
11.50
0.032
0.370
0.410
"•55
4258.477
O.IIO
.189
1. 200
13-07
0.066
0.719
0.792
11.50
0.032
0.370
0.410
"•55
4265.418
0.108
.162
1.263
12.79
0.066
0.719
0.792
11.50
0.032
0.370
0.410
"•55
4266.081
0.108
.162
1.263
12.79
0.065
0.706
0.779
11.31
0.030
o.35o
0-390
10.98
4268.915
0.109
•171
1.272
12.88
0.065
0.706
0-779
11.31
0.030
0-350
0.390
10.98
4276.836
O.I OQ
.171
1.272
12.88
0.066
0.715
0.788
11.44
0.031
0.360
0.400
11.27
4283.169
0.108
.160
1.261
12.77
0.065
0.705
0.778
11.30
0.032
0.370
0.410
"•55
4284.838
O.I I I
.192
1.293
13.10
0.066
0.715
0.788
11.44
0.032
0-370
0.410
"•55
4287.566
0.108
-163
1.264
12.80
0.068
0.738
0.811
11.78
0.032
0.370
0.410
"•55
4288.310
O.IIO
.182
1-283
13.00
0.067
0.728
0.801
11.63
0.030
0.350
0.300
10.98
4289.525
O.III
.191
1.292
13.09
0.065
0.705
0.778
11.30
0.032
0.370
0.410
"•55
4290.377
0.109
.169
1.270
12.86
0.064
0.695
0.768
11.15
0.031
0.360
0.400
11.27
4290.542
0.109
.169
1.270
12.86
0.065
0.704
0.777
11.28
0.030
0.350
0-390
10.98
4291.630
O.IIO
.179
1.280
12.96
0.065
0.704
o-777
11.28
0.033
0.385
0-425
11.97
86 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
Plate
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
148. 1908, Aug. 5, ioh 30™ G. M. T. Measured by L. on T. Distance from Limb 1.4 mm. Quality, good.
v p — P "" 0 *7
-0.3
O 133.0
13.2
14.6
75-4
2S-3
.106
0-0 58.5
28.7
29-3
60.7
12.7
.025
p -12.7
44-2
44-5
45 -S
8.8
.012
1 D 6.2
59-7
59-9
30.1
7.2
.008
Diameter 168.6 mm
74-7
74.8
15-2
6.4
.006
Factor i .01 7
89.7
89.7
0-3
6.2
.OO6
0=o?3
*-*.
0 = 3o!i
A
V
. + „
«
A
•
,-M,
£
A
•a
,-M,
*
4196.699
0.173
km
1.896
km
2.030
0
14.41
o.i 66
km
1.817
km
1-949
14-34
0.142
km
1-558
km
1.679
o
13-78
4197.257
0-175
1.916
2.050
14-55
0.165
1.807
1-939
14.26
0.143
1.568
1.689
13.86
4203.730
0.174
1.903
2.037
14.46
o.i 66
1.811
1-943
14.29
0.144
1-576
1.697
13-93
4207.566
0.176
1.921
2-055
14-59
0.167
1.821
1-953
14-37
0.146
1-597
1.718
14.10
4216.136
0.176
I-9I3
2.047
14-53
0.167
1.818
1.950
14-35
0.144
i-57o
1.691
13.88
4220.509
0.178
1.936
2.070
14.70
0.169
1-831
1.963
14.44
0-145
1-579
1.700
13-95
4232.887
0.176
1.911
2.045
I4-52
0.167
1.811
1-943
14.29
0-145
1-573
1.694
13.90
4233.328
0.178
1.927
2.061
14.64
0.170
1.841
1-973
14-52
0.144
1.562
1.683
13.81
4257.815
0.178
I-9I5
2.049
14-55
0.170
1.827
1-959
14.41
0.146
1-574
1.695
13-91
4258.477
0.178
I-9I4
2.048
14-54
0.168
1.807
1-939
14.26
0.147
1-583
1.704
13.98
4265.418
0.180
.929
2.063
14-65
0.170
1.824
1.956
14-39
0.145
1.560
i. 68 1
13-79
4266.081
0.180
.928
2.062
14.64
0.170
1.824
1.956
14-39
0.146
1.569
1.690
13-87
4268.915
0.178
.908
2.042
I4-50
0.172
1.842
1-974
14-52
0.146
1-563
1.684
13.82
4276.836
o.i75
-873
2.007
14.27
0.172
1.841
1-973
14.52
0-147
1-573
1.694
13.90
4283.169
0.181
•935
2.069
14.69
0.170
1.815
1-947
14-33
0.146
1.562
1.683
13.81
4284.838
0.182
•945
2.079
14-76
0.170
1-815
1-947
14-33
0.146
1.561
1.682
13.80
4287.566
0.182
•943
2.077
14-75
0.173
1.849
1.981
14-57
0.144
1.540
1.661
13-63
4288.310
0.181
•931
2-065
14.66
0.172
1-837
1.969
14.49
O.I4S
1-550
1.671
i3-7i
4289.525
0.182
.941
2.075
14-73
0.172
1.836
1.968
14.48
0.147
1-570
1.691
13.88
4290.377
0.181
•929
2.063
14.65
0.172
1-835
1.967
14.47
0.147
1-570
1.691
13.88
4290.542
0.182
•939
2.073
14.72
0.174
1-853
1.985
14.60
0.146
1-559
i. 680
13-78
4291.630
0.182
•939
2.073
14.72
0.172
1-833
1.965
14.46
0.146
1-559
i. 680
I3-78
0 = 4S!S
0 = 6o°7
0 = rs!4
4196.699
0.107
1.177
1.278
12.94
0.064
0-713
0.786
11.41
0.029
0.348
0.388
10.93
4197.257
0.105
i-i57
1.258
12.74
0.064
0-713
0.786
11.41
0.030
0-358
0.398
II. 21
4203.730
0.106
1.165
1.266
12.82
0.067
0-733
0.806
11.70
0.030
0-358
0.398
II. 21
4207.566
0.107
1.174
1-275
12.91
0.065
0.721
0-794
11-53
0.031 ! 0.368
0.408
11.49
4216.136
0.106
1.158
1.259
12-75
0.064
0.710
0.783
ii-37
0.030 ' 0.356
0-396
11.15
4220.509
0.108
1.177
.278
12.94
0.066
0.730
0.803
11.66
0.031
0.366
0.406
H-43
4232.887
0.107
1.165
.266
12.82
0.068
0.738
0.811
11.78
0.031
0.366
0.406
II -43
4233.328
0.107
1.165
.266
12.82
0.065
0.716
0.789
11.46
0.032
0.376
0.416
11.72
4257-815
0.107
I-I53
•254
12.70
0.068
0-733
0.806
11.70
0.031
0.361
0.401
11.29
4258.477
0.108
1.163
.264
12.80
0.068
0-732
0.805
11.69
0.032
o-37i
0.411
11-58
4265.418
0.107
1.153
•254
12.70
0.068
0-731
0.804
11.67
0.031
0.361
0.401
11.29
4266.081
0.108
.163
.264
12.80
0.066
0.720
0-793
11.52
0.031
0.361
0.401
11.29
4268.915
0.107
•151
-252
12.68
0.068
0.728
0.801
11.63
0.032
0-371
0.411
11.58
4276.836
0.108
.161
.262
12.78
0.068
0.728
0.801
11.63
0.032
0.371
0.411
11-58
4283.169
O.IIO
.181
.282
12.98
0.069
0.738
0.811
11.78
0.031
0.361
0.401
11.29
4284.838
0.108
•159
.260
12.76
0.067
0.718
0.791
11.49
0.032
0.360
0.400
11.27
4287.566
0.107
.149
.250
12.66
0.068
0.728
0.801
11.63
0.030
0-350
0.390
10.98
4288.310
0.108
.161
.262
12.78
0.067
0.727
0.800
11.62
0.032
0-370
0.410
"-5S
4289.525
O.IIO
.181
1.282
12.98
0.068
0.726
0.799
1 1. 60
0.031
0.360
0.400
11.27
4290.377
0.108
.160
1.261
12.77
0.066
0.718
0.791
n-49
0.032
0.370
0.410
ii-5S
4290.542
O.IIO
.179
1.280
12.96
0.067
0.726
0.799
1 1. 60
0.032
0.370
0.410
"•55
4291.630
0.108
.158
1-259
12.75
0.067
0.726
0-799
11.60
0.031
0.360
0.400
11.27
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908.
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate w 151. 1908, Aug. 6, sh 15™ G. M. T. Measured by L. on T. Distance from Limb 1.5 mm. Quality, good.
P-P
'I'
secij
o-3
0 133-8
13-8
iS-i
74-9
24.6
1. 100
o-n 59-3
29.6
30.2
59-8
12-5
1.024
p -13.1
45-i
45-4
44.6
8.8
1.012
D 6.3
75-3
75-4
14.6
6.4
1. 006
Diameter 168.6 mm
9°-3
9°-3
-0-3
6.2
I. OO6
Factor 1.018
<t- =
- °°3
*-
- o°3
•t> =
i4?6
A
»
V + V1
J
A
V
V -fllj
J
A
V
» + »!
1
km
km
«
km
km
-
km
km
0
4196.699
0.174
1.908
2.042
14.50
0-173
1.899
2-033
14-43
0.163
1.788
1.920
14.09
4I97-2S7
O.I7S
1.918
2.052
14-57
0-175
1.918
2.052
14-57
0.164
1.797
1.929
I4-IS
4203.730
0.177
1.936
2.070
14.70
0.178
1.936
2.070
14.70
0.166
1.815
1-947
14.28
4207.566
0.176
.918
2.052
H-57
0.177
1.928
2.062
14.64
0.165
1.803
1-935
14.20
4216.136
0.176
•915
2.049
14-55
0.175
I-905
2.039
14-47
0.165
1.799
I-93I
14.17
4220.509
0.176
.911
2.045
14-52
0.177
1.921
2.055
14.60
0.167
1.813
1-945
14.28
4232.887
0.180
•949
2.083
14.79
0.176
1.908
2.042
14.50
0.168
I.82I
1-953
14-32
4233-328
0.177
.918
2.052
M-57
0.177
1.918
2.052
14-57
o.i 68
I.82I
1-953
14.32
4257-8I5
0.180
•937
2.071
14.71
0.180
1-937
2.071
14.71
0.169
1.819
i-95i
I4-31
4258.477
0.182
•959
2.093
14.86
0.179
1.928
2.062
14.64
o.i 68
1.809
1.941
14.24
4265.418
0.179
•923
2.057
14.61
0.180
1-933
0.067
14.68
0.170
1.827
1-959
14.38
4266.081
O.I 80
•932
2.066
14.67
0.179
1.922
2.056
14.61
0.170
1.826
1.958
14-37
4268.915
0.180
•93°
2.064
14.66
0.180
1.930
2.064
14-65
0.171
1.829
1.961
14-39
4276.836
0.180
.928
2.062
14.64
0.180
1.928
2.062
14.64
0.171
1.828
1.960
14-38
4283.169
0.181
•933
2.067
14.68
0.179
I-9I3
2.047
14-54
0.170
1.818
1.950
14.30
4284.838
0.181
•933
2.067
14.68
0.181
1-933
2.067
14.68
0.172
1.838
1.970
14-45
4287.566
0.180
.922
2.056
14.60
0.181
1.932
2.066
14.67
0.170
1.818
1.950
14.30
4288.310
0.179
.912
2.046
H-53
0.181
1-932
2.066
14.67
0.172
1-837
1.969
14.44
4289.525
0.182
1.942
2.076
14.74
0.182
1.942
2.076
14.74
0.171
1.827
1-959
14-37
4290.377
O.I 80
1.921
2.055
14-59
0.181
I-93I
2.065
14.66
0.171
1.827
1-959
14-37
4290.542
0.182
1.942
2.076
14-74
0.181
1.932
2.066
14.67
0.173
1.845
1.977
14.50
4291.630
0.181
I-93I
2.065
14.66
0.182
1.941
2.075
14-73
0.172
1-835
1.967
H-43
<t> =
44!6
0 =
sots
0 =
74!9
4196.699
0.105
•159
.260
12.56
0.065
0.724
0.797
11.25
0.029
0.348
0.388
10.57
4I97-257
0.105
.158
•259
12.55
0.064
0.714
0.787
II. II
0.030
0.358
0.398
10.85
4203.730
0.106
.164
.265
12. 6l
0.066
0-734
0.807
"•39
0.030
0-357
0-397
10.82
4207.566
0.106
.162
.263
12-59
0.067
0-745
0.818
"•55
0.031
0.368
0.4,08
II. 12
4216.136
0.104
.140
.241
12.37
0.066
0.732
0.805
11.36
0.031
0.367
0.407
II.O9
422O.5O9
0.106
•159
.260
12.56
0.066
0.732
0.805
11.36
0.030
0-357
0-397
10.82
4232.887
0.108
.178
.279
12.75
0.067
0-739
0.812
11.46
0.031
0-365
0.405
11.03
4233-328
0.108
.178
.279
12.75
0.068
0-749
0.822
1 1. 60
0.031
0-365
0.405
11.03
4257-8I5
0.109
•177
.278
12.74
0.069
0-753
0.826
11.66
0.033
0.388
0.428
11.66
4258.477
0.108
.166
1.267
12.63
0.067
0-733
0.806
11.38
0.032
0.376
0.416
"•34
4265.418
0.108
.164
1.265
12.61
0.064
0.702
0-775
10.94
0.032
0.376
0.416
"•34
4266.O8I
0.109
•174
1-275
12.71
0.065
0.711
0.784
1 1. 06
0.032
0-374
0.414
11.28
4268.9J5
0.108
.164
1.265
12.61
0.069
0.750
0.823
11.61
0.032
0-374
0.414
11.28
4276.836
0.109
.172
1-273
12.69
0.068
0-739
0.812
11.46
0.032
0-374
0.414
11.28
4283.169
O.IIO
.182
1.283
12.79
0.068
0-739
0.812
11.46
0.033
0.384
0.424
"•55
4284.838
0.109
.171
1.272
12.68
0.068
0-739
0.812
11.46
0.034
0.396
0.436
11.88
4287.566
O.IIO
.181
1.282
12.78
0.069
0-749
0.822
1 1. 60
0.034
0.396
0-436
11.88
4288.3IO
0.108
.161
1.262
12.58
0.066
0.718
0.791
ii. 16
0.032
0.374
0.414
11.28
4289.525
0.109
.170
1.271
12.67
0.068
0-739
0.812
11.46
0.032
0-374
0.414
11.28
4290.377
0.109
1.170
1.271
12.67
0.068
0-739
0.812
11.46
0-033
0.385
0.425
11.58
4290.542
O.IIO
1.180
1.281
12.77
0.068
0-739
0.812
11.46
0.033
0.396
0.436
11.88
4291.630
O.IIO
1.180
1.281
12.77
0.071
0.771
0.844
n-75
0.034
0.396
0.436
11.88
88 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS or 1908 — Continued.
Plate w 161. 1908, Aug. 26, nh om G. M. T. Measured by L. on T. Distance from Limb i.i mm. Quality, good.
P-P
secy
-0-3
0 153-3
24.1
25.0
65.0
17.0
1.049
o-n 78.8
40.1
40.6
49.4
II. 0
1.018
p -19.8
SS'S
55-8
34.2
8.6
1.016
D 7.1
70.7
70.9
19.1
7-5
1.009
Diameter 168.9 mm
79.0
79.1
10.9
7.2
1.008
Factor 1.013
83.8
85.8
4.2
7-i
1.008
0 =
4! 2
<t> =
IO°Q
0 =
I9?i
A
V
v + vt
i
A
V
v + v1
i
A
V
» + »!
i
4196.699
0.172
km
1.879
km
2.015
14-34
o.i 68
km
1.836
km
1.970
14.24
0.159
km
1-739
km
1.867
o
14.04
4197-25?
0.1/3
1.888
2.024
14.41
o.i 68
1.836
1.970
14.24
0.159
1-739
1.867
14.04
4203.730
0.175
1-913
2.049
14-59
0.169
1.840
1.974
14.27
0.162
1.766
1.890
14.21
4207.566
0-175
1.910
2.046
14.56
o.i 68
1.828
1.962
14.19
0.161
1-753
I.88I
14.14
4216.136
O.I7S
1.908
2.044
14-55
o.i 68
1.826
1.960
14.17
0.161
1-75'
1.879
14.13
4220.509
0.176
1.905
2.041
14-53
0.172
1.867
2.001
14.47
0.163
.766
!.894
14.24
4232.887
0.176
1.902
2-038
14-51
0-173
1.869
2.003
14.49
0.164
•774
1.902
14.30
4233-328
0.176
1.902
2.038
14-51
0.172
1.859
1-993
14.42
0.165
.784
1.912
14.37
4257-815
0.179
1.920
2.056
14.63
0.176
1.884
2.018
14.59
0.163
•744
1.872
14.08
4258-477
0.178
1.910
2.046
14.56
0.174
1.864
1.998
14-45
0.164
•753
i. 88 1
14.14
4265.418
0.179
1.918
2.054
14.62
0.172
1.842
1.976
14.29
0.164
•753
1.881
14.14
4266.081
0.179
1.917
2-053
14.61
O.I7S
1.867
2.OOI
14.47
0.167
1-783
1.911
14.36
4268.915
0.180
1.926
2.062
14.68
0.174
1.856
1.990
14-39
0.166
1.772
1.900
14.28
4276.836
0.176
1.878
2.014
14-34
0.174
1-855
1.989
14.38
0.164
I-75I
1.879
14.13
4283.169
0.180
1.918
2.054
14.62
0.175
1.865
1.999
14.46
0.167
.781
1.909
14.35
4284.838
0.180
1.916
2.052
14.61
0.174
I.8S5
1.989
14.38
0.165
.760
1.888
14.19
4287.566
0.180
1.916
2.052
14.61
0.175
1.864
1.998
14-45
0.165
.760
1.888
14.19
4288.310
0.179
1.906
2.042
14-54
0-175
1.864
1.998
14-45
0.165
.760
1.888
14.19
4289-525
0.179
1.906
2.042
14-54
0.174
1-854
1.988
14.38
0.162
.725
1-853
13.93
4290.377
0.179
1.905
2.041
14-53
0.174
1.854
1.988
14.38
0.162
•725
1-853
13.93
4290.542
0.180
1-915
2.051
14.60
0.174
1-853
1.987
14.37
0.164
•747
1-875
14.10
4291.630
0.180
1-915
2.051
14.60
0.176
1.873
2.OO6
14.51
o.i 66
.768
1.896
14.25
<t> =
34?2
0 =
49°A
0 =
65!°
4196.699
0.128
1.404
I-5I9
13-03
0.088
0.972
1.061
11.57
0.048
0.541
0-599
10.06
4197-25?
0.128
1.404
I-5I9
13-03
0.088
0.972
1. 06 1
"•57
0.048
0.541
0-599
10.06
4203 730
0.128
1.412
-528
13.12
0.090
0.992
1.081
11.79
0.049
0-551
0.609
10.23
4207.566
0.131
1.430
•545
13-25
0.090
o 990
1079
11.77
0.050
0.561
0.619
10.40
4216.136
0.132
1.438
•553
13-32
0.090
0.988
1.077
"•75
0.047
0-530
0.588
9.88
4220.509
0.131
1.426
•541
13.22
0.092
1.005
1.094
"•93
0.050
0-559
0.617
10.37
4232.887
0.132
1-434
•549
13.29
0.091
0.994
1.083
11.81
0.051
0.569
0.627
10.54
4233.328
0.132
I-43I
•546
13.26
0.090
0.984
1-073
11.70
0.051
0.569
0.627
10.54
4257-815
0-135
1.450
-565
13-43
0.092
0.996
1.085
11.83
0.054
0-599
0.657
11.04
4258.477
0-135
1.450
•565
13-43
0.092
0.996
1.085
11-83
0.054
0.598
0.656
n. 02
4265.418
o-i33
1.429
•544
13-24
0.090
0-974
1.063
n-59
0-053
0.588
0.646
10.85
4266.081
0-135
1-445
.560
13-38
0.092
0.992
1.081
11-79
0.052
0-575
0-633
10.63
4268.915
0-135
•445
•560
13-38
0.093
1. 002
1.091
11.90
0-053
0-585
0.643
10.80
4276.836
0-133
•424
•539
13.20
0.092
0.992
1.081
11.79
0.053
0.585
0.643
10.80
4283.169
0-134
•435
•550
13-30
0.092
0.992
1.081
11.79
0.052
0-575
0.633
10.63
4284.838
0.134
•435
•550
13-30
0.090
0.972
1. 06 1
n-57
0.052
0.576
0.634
10.65
4287.566
0.134
-435
•550
13-30
0.092
0.991
1.080
11.78
0-053
0.586
0.644
10.82
4288.310
0.136
•451
-566
13-43
0.093
1. 001
1.090
11.89
0.053
0.586
0.644
10.82
4289.525
0-133
.421
-536
13.18
0.092
0.991
1.080
11.78
0.051
0-565
0.623
10.47
4290.377
0-135
.441
-556
13-35
0.091
0.981
1.070
11.67
0.052
0-575
0.633
10.63
4290.542
0.135
1.441
-556
13-35
0.093
1. 001
1.090
11.89
0.054
0-595
0-653
10.97
4291.630
0.133
1.420
•535
13-17
0.095
1. 02 1
I. IIO
12. II
0.054
0-595
0-653
10.97
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908.
8g
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate w 162. 1908, Aug. 26, ii1' om G. M. T. Measured by L. on T. Distance from Limb i.i mm. Quality, good.
P-P
seer]
-0.3
0 153-3
24.1
25.0
65.0
17.0
1.046
O-n 78.8
40.1
40.6
49.4
II.O
1.019
P -19.8
55-5
55-8
34-2
8.6
1. 01 1
D 7.1
70.7
70.9
19.1
7-5
1.009
Diameter 168.9 mm
79.0
79.1
10.9
7.2
1. 008
Factor 1.013
85.8
85.8
4.2
7-i
1.008
0 = 4!*
0 = io°9
0 = IQ!I
.
A
'
. + .,
s*
A
V
» + »,
•
A
V
. + ,,
«
4196.699
0.174
km
1.901
km
2.037
i4°5o
o.i 68
km
1.838
km
1.972
I4.2S
0.157
km
1.719
km
1.847
13.88
4197-257
0.174 i. ooi
2.037
14-50
o.i 68 1.838
1.972
I4.25
0.158
1.728
.856
13-95
4203.730
0.175
1.909
2.045
14.56
0.170 .853
1.987
14.36
o.i 60
1-743
.871
14.06
4207.566
0.176
.914
2.050
14-59
0.169 i .841
1-975
14.27
0.161
I-75I
.879
I4-I3
4216.136
0.175
.901
2-037
14.50
0.170 .848
.982
I4.32
0-159
1.729
-857
13-97
4220.509
0.177
.917
2.053
14.61
0.170 .845 .979
14.30
0.162
1-755
.883
14.16
4232-887
0.178
.924
2.060
14.66
0.170
.840
•974
14.26
0.161
1-743
.871
14.07
4233-328
0.180
•944
2.080
14.80
0.173
.870
.004
14.48
0.164
1-773
.901
14.29
4257-SiS
0.179
.921
2-057
14.64
0.172
.848
.982
I4-32
0.165
1.766
•894
14.25
4258-47?
0.178
.910
2.046
14.56
0-173
-857
.991
14-39
0.164
1-754
.882
M-iS
4265.418
0.179
•915
2.051
H-59
0.173
•854
.988
14-37
0.163
1.742
.870
14.06
4266.081
0.179
.914
2.050
14-59
0-175
.874
.008
14.52
0.164
J-752
.880
14-13
4268.915
0.180
.919
2.055
14.63
0.174
.856
.990
14.38
0.164
.879
14.12
4276.836
0.181
.928
2.064
14.69
0.174
-855
.989
14-37
0.164
1-749
-877
14.11
4283.169
0.178
.897
2.033
14.47
o.i74
-854
.988
14-37
0.165
1-759
.887
14.19
4284.838
0.180
1.914
2.050
14-59
0.173
.842
.976
14.28
0.164
1-747
-875
14.10
4287.566
0.180
I-9I3
2.049
14.58
0.174
-852
.986
14-35
. 0.163
1-737
.865
14.02
4288.310
0.180
I-9I3
2.049
14.58
0.174
-8SI
•985
14-34
0.164
1-747
•875
14.10
4289.525
0.180
I-9I3
2.049
14.58
0.175
.861
J-995
14.41
0.164
1-747
-875
14.10
4290.377
0.178
1.893
2.029
14.44
0.174
.851
1.985
14-34
0.164
1-747
-875
14.10
4290.542
0.178
1.893
2.029
14.44
0.176
.872
2.006
14.50
0.165
I-756
.884
14.17
4291.630
0.179
1.903
2.039
14-51
0.175
.862
1.996
14-43
0.165
I-756
.884
14.17
0 = 34^
0 = 49°A
0 — 6s!o
0 = 6s!o*
,
A
»
,-M,
•
A
V
» + r
«
A
r
. + J «
A
p
v + 1>1
«
4196-699
0.125
km
I-37I
km
.486
12.76
0.095
km
1.049
km
.138
12.42
0.057
km
0.646
km
0.704 11.83
0.050
km
0.569
km
0.62;
10.53
4197-257
0.125
I-37I
.486
12.76
0.095
1.049
.138
12.42
0.058
0.656
0.714
I2.OO
0-053
0.603
0.661
II. IO
4203.73°
0.126
1.381
.496
12.84
0.097
1.068
•157
12.62
0.058
0.655
0.713
Il.gS
0-055
0.625
0.683
11.47
4207.566
0.126
1-377
•492
I2.8l
0.094
1-035
.124
12.26
0.056
0-635
0.693
11.64
0.050
0.567
0.62!
10.50
4216.136
0.126
1-374
.489
12.78
0.096
1-053
.142
12.46
0.059
0.660
0.718
I 2.06
0.050
0-565
0.623
10.47
4220.509
0.129
1.405
.520
13-05
0.097
1. 060
.149
12.53
0.057
0.640
0.698
"•73
0.057
0.643
0.701
11.78
4232.887
0.127
1-379
•494
12.82
0.097
1-058
-147
12.51
0.058
0.649
0.70;
11.87
0.056
0.630
o.688| 11.56
4233.328
0.129
1-399
•SM
12.99
0.096
1.048
•137
12.40
0.058
0.649
0.705
11.87
0.052
0.585
0.643
10.80
4257-815
0.130
1.400
•515
13.00
0.098
1.063
•152
12.57
0.058
0.645
0.703
ii. 81
0.057
0.637
o.6gt
11.68
4258.477
0.129
1.390
•505
12.92
0.098
1.063
•152
12-57
0-059
0.655
0.713
11.98
0.057
0.636
0.69;
11.66
4265.418
0.129
1.389
•504
12.91
0.097
1.047
.136
12-39
0.058
0.643
0.701
11.78
0-053
0.590
0.648
10.88
4266.081
0.131
1.408
•523
13.07
0.098
1-057
.146
12.50
0.058
0.643
0.701
11.78
0.054
0.580
0.638
10.72
4268.915
0.130
1-394
•509
12-95
0.098
1.056
•145
12.49
0.060
0.664
0.722
12.13
0.057
0-635
0.693
11.64
4276.836
0.130
1.390
•505
12.92
0.098
1-055
.144
12.48
0.059
0.651
0.70?
11.91
0-055
0.6 1 1
o.66<;
11.24
4283.169
0.131
.400
•515
13.00
0.099
1.065
-154
12-59
0.060
0.661
0.71?
12.08
0.060
0.665
0.723
11.15
4284.838
0.130
•390
•505
12.92
0.099
1.064
•153
12.58
0.061
0.650
0.708
11.89
0.055
0.609
0.66;
1 1. 20
4287.566
0.130
•390
•505
12.92
0.097
1.044
•133
12.36
0.058
0.640
0.698
"•73
0.057
0.630
0.688
11.56
4288.310
0.131
•399
.514
12.99
0.098
1-053
.142
12.46
0.06 1
0.670
0.728
12.23
0.058
0.642
0.700
11.76
4289.525
0.131
•399
•514
12.99
0.099
1.063
•152
12.57
0.060
0.660
0.718
12.06
0.06 1
0.675
0-733
12.31
4290-377
0.129
•379
1.494
12.82
0.097
1.043
.132
12.35
0.058
0.640
0.698 11.73
0.057
0.632
o.6ox
"-S9
4290.542
0.132
.409
I-524
13.08
0.099
1.063
•152
12-57
0.060 0.660 0.718 12.06
0.060
0.665
0.723
12.15
4291.630
0.129
.378 1.493
12.82
0.098 1.053
1.142 12.46
0.060 0.660 0.718 12.06
0.058
0-655
0-713
11.98
* Measured by A. on G.
go AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate w 163. 1908, Aug. 26, nh 55m G. M. T. Measured by L. on T. Distance from Limb i.i mm. Quality, good.
p-P
sec i)
-0-3
o
153-3
24.1
25.0
65.0
17.0
1.046
o-n
78.8
40.1
40.6
494
II.O
1.019
p
-19.8
ss-s
55-8
34-2
8.6
I. Oil
D
7-i
70.7
70.9
19.1
7-5
1.009
Diameter
168.9 mm
79.0
79.1
10.9
7.2
1.008
Factor
1.013
85.8
85-8
4.2
7-i
1.008
* = *
0 = IO°Q
0 - „:,
A
n
, + ,,
«
A
V
" + "j
«
A
V
v + »t
«
4196.699
0.172
km
1.880
km
2.0l6
14-34
0.170
km
1.859
km
1-993
o
14.40
O.I 60
km
•750
km
1.878
14.12
4197-257
0.172
.880
2.016
14-34
0.170 1 1.859
1-993
14.40
0.160
•750
1.878
14.12
4203.730
0.173
.889
2.025
14.42
0.173 1-887
2.O2I
14.60
0.162
.768
1.896
14-25
4207.566
0.173
.885
2.O2I
14.38
0.172
1.874
2.008
14-51
0.162
.765
1.893
14-23
4216.136
0.174
.890
2.O26
14.42
0.170
1.849
1.983
14-33
0.162
.762
1.890
14.21
4220.509
0.177
.922
2-058
1465
0.174
1.888
2.022
14.61
0.163
.765
1.893
14.23
4232.887
0.177
.911
2.047
14-57
0.172
1.859
1-993
14.40
0.164
•773
1.901
14.29
4233-328
0.176
.901
2.037
14.50
0.174
i. 880
2.014
14-55
0.164
•773
1.901
14.29
4257-8i5
0.178
.910
2.046
14-56
0-175
1.879
2.013
14-54
0.166
.782
1.910
14.36
4258-477
0.178
.910
2.046
14.56
0.174
1.869
2.003
14-47
0.165
•773
1.901
14.29
4265.418
0.178
.909
2-045
14.56
0.176
1.884
2.018
14.58
0.162
•738
1.866
14-03
4266.081
0.179
•915
2.051
14.60
0-175
1.874
2.008
14-51
0.165
.762
1.890
14.21
4268.915
0.178
1.904
2.040
14-52
0-175
1.867
2.OOI
14.46
0.165
.761
1.889
14.20
4276.836
0.180
1.917
2-053
14.61
0.175
1-865
1-999
14-45
0.164
•750
1.878
14.12
4283.169
0.178
1.896
2.032
14-47
0.175
1.865
1-999
14-45
0.164
•750
1.878
14.12
4284.838
0.180
•915
2.051
14.60
0.176
1.874
2.008
14-51
0.164
.748
1.876
14.10
4287.566
0.179
•905
2.O4I
14-53
0.175
1.864
1.998
14-44
0.165
•758
1.886
14.18
4288.310
0.178
•895
2.031
14.46
0.175
1.864
1.998
14.44
0.164
.748
1.876
14.10
4289.525
O.I 80
•915
2.051
14.60
0.174
1-853
1.987
14.36
0.165
•758
1.886
14.18
4290.377
0.179
•90S
2.041
14-53
0.175
1.863
1.997
14-43
0.164
.748
1.876
14.10
4290.542
0.180
.914
2.050
14-59
O.I7S
1.863
1.997
14-43
0.165
•758
1.886
14.18
4291.630
0.180
1.914
2.050
14-59
0.174
1.852
1.986
14-35
0.164
• 747
1-875
14.09
0 = 34^
0 = 49?4
0 = 6s!o
0=6SV
X
A
i)
,-M,
£
A
'
. + .,
«
A
*
. + .,
«
A
»
, + ,,
I
4196.699
0.131
km
.441
km
1-556
13-36
0.094
km
1.038
km
1.127
12.30
0.056
km
0.634
km
0.692
11-63
0.050
km
0.569
km
0.627
o
10.53
4197-257
0.130
•430
1-545
13.26
0.094
1.038
1.127
12.30
0.056
0.634
0.692! 11.63
0.052! 0.592
0.650
10.92
4203-730
0.132
•443
1-558
13-37
0.096
1.058
1.147
12.52
0.057
0.643
0.701
11.78
0.054! 0.612
0.670
11.26
4207.566
0.132
.440
1-555
13-35
0.096
1.056
I-I45
12.49
0.057
0.642
0.700
11.76
0.052
0.589
0.647
10.87
4216.136
0.131
.429
1-544
13-25
0.095
1.044
I-I33
12.36
0.056
0.630
0.688
11.56
0.052
0.588
0.646
10.85
4220.509
0.132
•437
1-552
13-32
0.096
1.052
1.141
12.45
0.059
0.663
0.721
12. II
0.058
0.654
0.712
11.96
4232.887
0.132
•435
1-550
13-30
0.099
1.081
1.170
12.77
0.058
0.650
0.70$
11.89
0.055
0.618
0.676
11.36
4233.328
0-133
.442
1-557
13-36
0.098
1.070
•159
12.65
0.058 0.650
0.708
11.89
0.052
0-585
0.643
1080
4257-815
0-133
•433
1.548
13.29
0.099
1.074
.163
12.69
0.060
0.666
0.724
12. l6
0-055
0.615
0.673
11.31
4258-477
0.133
•433
1.548
13.29
0.098
1.064
•153
12.58
0.0581 0.646
0.704
11-83
0.054
0.605
0-633
11.14
4265.418
0.134
•435
i-55o
13-30
0.096
1.042
•131
12.34
0.060 0.666
0.724
12. l6
0.056
0.624
0.682
11.46
4266.081
0-134
•435
i-55o
13-30
0.098
1.057
.146
12.50
0.059
0-653
0.711
11.94
0-055
0.614
0.672
11.29
4268.915
0.135
•444
1-559
13-38
0.098
1.056
•145
12.49
0.059
0.652
0.7 ic
11.92
0.056
0.623
0.681
11.44
4276.836
0.134
•433
1.548
13.29
0.099
1.065
•154
12.59
0.060
0.659
0.717
12.04
0-055
0.613
0.671
11.27
4283.169
0.132
.412
1-527
13.10
0.099
1.065
•154
12-59
0.058
0.639
0.697
11.71
0.057
0.631
0.689
ii-57
4284.838
0.134
•433
1.548
13.29
0.098
1.054
•143
12.47
0.060
0.659
0.717
12.04
0.054
0-599
0.657
11.04
4287.566
0.134
•433
1.548
13.29
0.100
1-075
1.164
12.70
0.059
0.649
0.707
11.88
0.055 1 0.609
0.667
it. 20
4288.310
0.134
•432
1-547
13.28
o.ioi
1.085
1.174
12.81
0.060
0.659
0.717
12.04
0.056
0.619
0.677
"•37
4289.525
0.134
•431
1.546
13-27
0.099
1.064
I-I53
12.58
0.058
0.639
0.697
11.71
0.056
0.619
0.677
"•37
4290.37?
0.133
.420
1-535
13.18
0.098
1-053
1.142
12.46
0.058
0.639
0.697
11.71
0.054
0.598
0.656
1 1. 02
4290.542
0.134
I-43I
1.546
13-27
O.IOI
1.085
1.174
12.81
0.060
0.659
0.717
12.04
0.056 0.619
0.677
n-37
4291.630
0.134
I-43I
1.546 13.27
0.098
1-053
1.142
12.46
0.059 0.649
0.707 11.88
0.057
0.630
0.688
11.56
* Measured by A. on G.
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF igo8.
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate w 164. 1908, Aug. 26, nh 55m G. M. T. Measured by L. on T. Distance from Limb i.i mm. Quality, good.
P-P
scc>7
-o-3
0 1S3-3
24.1
25.0
65.0
17.0
1.046
o-n 78.8
40.1
40.6
49.4
II.O
1.019
p -19.8
55-5
55-8
34-2
8.6
I. Oil
D 7.1
70.7
70.9
19.1
7-S
1.009
Diameter 168.9 mm
79.0
79.1
10.9
7.2
1.008
Factor 1.013
85.8
85.8
4.2
7-i
1.008
0 =
4! 2
0=
u*,
0 =
10:1
X
A
V
, + „
i.
A
V
„+„
«
A
'
, + .,
«
^196.699
0.169
km
.848
km
1.984
14.12
0.169
km
1.858
km
1.992
14.40
0.159
km
•739
km
1.867
14.04
4197-257
0.171
.868
2.004
14.26
0.168
1.848
1.982
14-32
0-159
•739
1.867
14.04
4203.730
0-173
.885
2.O2I
14.38
0.170
1.853
.987
14-36
o.t6i
•752
1.880
14-13
4207.566
0.174
.894
2.030
14-45
0.171
i. 860
•994
14.41
O.I 60
•741
1.869
14-05
4216.136
0.174
.890
2.O26
14.42
0.170
1.848
.982
14.32
0.159
.729
1.857
13-97
4220.509
0.177
1.920
2.056
14.64
0.173
1.872
.006
14-50
0.162
•754
1.882
14-15
4232-887
0.176
1.901
2-037
14.50
0.172
•859
•993
14.41
0.162
•752
1.880
14-13
4233-328
0.176
1.900
. 2.036
14.49
0.172
.859
•993
14.41
o.i 60
•730
1.858
13.98
4257.8i5
0.178
1.898
2-034
14.48
0.174
.867
2.OOI
14.46
0.162
.741
1.869
14-05
4258.477
0.178
1.898
2.034
14.48
0-174
.867
2.001
14.46
0.163
•751
1.879
14.12
4265.418
0.177
1.895
2.031
14.46
0-175
•874
2.008
14.51
0.161
.726
1.854
13-94
4266.081
0.179
•915
2.051
14.60
O.I7S
.874
2.008
14-51
0.163
.742
1.870
14.06
4268.915
0.178
.898
2.034
14.48
0.174
.861
1-995
14.42
0.163
.741
1. 869
14.05
4276.836
0.177
.886
2.O22
14-39
0.174
•859
1-993
14.40
0-163
•739
1.867
14.04
4283.169
0.178
.896
2.032
14.46
0.175
.863
1-997
14.44
0.164
•749
1.877
14.11
4284.838
0.179
•904
2.040
14-52
0.174
•853
1.987
14.36
0.162
.727
1.855
13-95
4287.566
0.178
.894
2.030
14-45
o.i75
.862
1.996
14-43
0.162
.726
1.854
13-94
4288.310
0.177
.884
2.O2O
14-37
0.174
.852
1.986
14-35
0.165
•757
1.885
14.17
4289.525
0.178
•893
2.029
14.44
0.176
.872
2.006
14.50
0.164
•747
I.875
14.10
4290.377
0.178
1.893
2.O29
14.44
0.174
.852
1.986
14-35
0.164
•747
I.875
14.10
4200.542
0.178
1.893
2.O29
14.44
0.176
.872
2.006
14.50
0.164
•747
1.875
14.10
4291.630
0.179
1.903
2.039
14-51
0.174
1.852
1.986
14-35
0.165
•756
1.884
14.16
0 =
34!2
0 =
4*4
0 =
65:o
4196-699
0.130
.425
1.540
13.22
0.096
1-059
.148
12-53
0.055
0.624
0.682
11.46
4197-257
0.130
•425
1-540
13.22
0.096
1.059
.148
12.53
0.057
0.644
0.702
11-79
4203-730
0-133
•455
1-570
13.48
0.097
1.064
•153
12.58
0.058
0.654
0.712
11.96
4207.566
0.133
•454
1.569
13-47
0.097
1.062
•151
12.56
0.057
0.644
0.702
11.79
4216.136
0.131
.426
I-S4I
13-23
0.096
1.050
•139
12.43
0.056
0.630
0.688
11.56
4220.509
0.132
•434
1-549
13-30
0.097
1. 060
.149
12-54
0.058
0.649
0.707
11.88
4232.887
0.133
.441
I-556
13-36
0.096
1.048
•137
12.40
0.057
0.638
0.696
11.69
4233-328
0.133
.441
I-556
13-36
0.099
1.081
.170
12.76
0.058
0.648
0.706
11.86
42 C7 8l <
O.I36
460
j ~- -
I3-52
t^o / •"* J
OT 7 A
•t""
I .CCA
4265.418
• l OT"
0.135
•449
1.564
13-43
0.099
1.072
.161
12.66
0.058
0.643
0.701
11.77
4266.O8I
0.134
•436
i-SSi
I3-3I
0.098
.063
•152
12.57
0.058
0.642
0.700
n-75
4268.915
0.135
•444
•559
13-38
0.099
.071
.160
12.65
0.058
0.639
0.697
11.71
4276.836
0-135
•444
•559
13-38
O.IOO
.077
.166
12.61
0.059
0.649
0.707
11.88
4283.169
0.134
•432
•547
13.28
0.100
•077
.166
12.61
0.058
0.639
0.697
11.71
4284.838
0.134
•432
•547
13.28
0.098
•056
•145
12-49
0.059
0.648
0.706
11.86
4287.566
0-133
•431
•546
13-27
0.098
-055
.144
12.48
0.058
0.638
0.696
11.69
4288.3IO
0.136
•453
.568
13-46
0.098
1-055
.144
12.48
0.058
0.638
0.696
11.69
4289.525
0-135
.442
1-557
13-36
0.099
1.065
•154
12.59
0.059
0.648
0.706
11.86
4290.377
O.I3S
1.442
1-557
13-36
0.097
1.044
•133
12.36
0.059
0.648
0.706
11.86
4290.542
0.137
1.462
1-577
13-54
O.IOO
1.074
.163
12.69
0.059
0.648
0.706
11.86
4291.630
0.135
1.441
I-S56
13-35
O.IOO
1.074
.163
12.60
0.058
0.638
0.696
11.69
92 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE u. — RESULTS FOE INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate w 165. 1908, Aug. 27, 6h 45™ G. M. T. Measured by L. on T. Distance from Limb 1.6 mm. Quality, good.
P-P
sec';
— O.2
O 154.1
24.2
25.2
64.8
17.0
1.046
O-fi 79.6
40.1
40.6
49.4
II.O
1.019
P -20.1
55-6
55-9
34-1
8.6
1. 01 1
D 7.1
70.8
70.9
19.1
7o
1.009
Diameter 168.8 mm
78.3
78.4
u.6
7-3
1.008
Factor 1.019
85.8
85.8
4.2
7-i
1.008
0 =4%
0 = n°6
*-*
A
It
» + »,
«
A
V
. + *
«
A
V
1
4196.699
0.169
km
1.861
km
1.997
14.22
0.169
km
1.858
km
1.992
14-43
0.158
km
1-738
km
1.867
14.03
4197-257
0.169
1.861
1.997
14.22
o.i 68
1.848
1.982
14.36
0.157
I.736
1.865
14.01
4203.730
0.172
1.887
2.023
14.40
0.170
1.864
1.998
14.48
o.i 60
I-756
1.885
14.16
4207.566
0.173
1.898
2.034
14.48
0.170
1.863
1.997
14.47
o.i 60
1-752
1.881
14-13
4216.136
0-173
•883
2.019
14-37
0.171
1.868
2.002
14-52
o.i 60
1-750
1.879
14.11
4220.509
0.176
.923
2.059
14.66
0.170
1.852
1.986
14.40
0.161
1-759
1.888
14.19
4232.887
0.175
•90S
2.041
14-53
0.172
1.870
2.OO4
M-53
0.161
1-763
1.892
14.22
4233-328
0.176
•915
2-051
14.60
0.171
1. 860
1.994
14-43
0.162
1.762
1.891
14.21
4257-815
0.178
.922
2.058
14.65
0.173
1.870
2.004
14-53
0.163
1.761
1.890
14.20
4258-47?
0.175
.891
2.027
14-43
0.173
1.869
2.003
14.52
0.163
1.761
1.890
14.20
4265.418
0.176
.896
2.032
14.47
0.172
1.854
1.988
14.41
0.163
1-758
1.887
14.18
4266.081
0.176
-895
2.031
14.46
0.173
1-857
I-99I
14-43
0.162
1.748
•877
14.10
4268.915 0.178
.916
2-052
14.61
0.174
1.866
2.OOO
14.50
0.163
I-756
-885
14.16
4276.836
0.176
.892
2.028
14.44
0-173
I-8SS
1.989
14.42
0.162
1-739
.868
14.04
4283.169
0.178
.907
2-043
14-54
0.174
1.865
1.999
14.49
0.163
1.748
-877
14.10
4284.838
0.176
.886
2. 02 2
14.40
0.174
1.864
1.998
14.48
0.162
i 737
.866
14.02
4287-566
0.177
.898
2.034
14.48
0.172
1.844
1.978
14-34
0.164
1-757
.886
14.17
4288.310
0.176
-885
2.O2I
14-39
0.172
1.843
1.977
14-33
0.163
1-747
.876
14.09
4289.525
0.178
•905
2.O4I
14-53
0.174
1.864
1.998
14.48
0.163
1-747
.876
14.09
4290.37?
0.176
.884
2.020
14-38
0.173
1.851
1.985
14-39
0.163
J-747
1.876
14.09
4290.542
0.177
.894
2.030
14-45
0.172
1.841
J-975
14-31
0.164
1-757
1.886
14.17
4291-630
0.178
•90S
2.O4I
14-53
0.173
1.851
1.985
14-39
0.163
1-747
1.876
14.09
0 = 34?i
0 - 49?4
0 = 64!8
4196.699
0.131
1.444
-558
13-36
0.095
•°54
•143
12.47
0.054
0.611
0.669
11.15
4197-257
0.130
i -434
•548
13.27
0.094
.044
•'33
12.36
0.054
0.611
0.669
11.15
4203.730
0.131
1-443
•557
13-35
0.094
.042
•131
12.34
0-055
0.632
0.690
11.51
4207.566
0-133
1.462
•576
13-51
0.095
•054
•143
12.37
0-055
0.620
0.678
11.31
4216.136
0.132
1.446
.560
13-37
0.094
•039
.128
12.31
0-055
0.618
0.676
11.27
4220.509
0.134
.467
.581
J3-47
0.097
.068
•157
12.62
0.057
0.636
0.694
"•57
4232.887
0.132
.441
•555
13-33
0.096
•054
•143
12.37
0.056
0.625
0.683
4233-328
0.131
•431
•545
13-25
0.096
•054
•143
12.37
0.058
0.645
0.703
"•73
4257-815
0.133
•443
•557
13-35
0.097
.058
.147
12.51
0.057
0.628
0.686
11.44
4258.477
0.134
•453
.567
13-44
0.098
.068
•157
12.62
0.057
0.628
0.686
11.44
4265.418
0.134
•438
•552
13-30
0.097
•052
.141
12.45
0.058
0.637
0.695
"•59
4266.081
0.132
.428
•542
13.22
0.098
.062
•151
12.56
0.058
0-637
0.695
"•59
4268.915
0-133
1.438
•552
13-30
0.097
.052
.141
12.45
0.058
0-637
0.695
"•59
4276.836
0.134
1-443
•557
13-35
0.096
.041
-130
12.33
0.057
0.627
0.685
11.42
4283.169
0-134
1.441
•555
13-33
0.096
.041
.130
12.33
0.057
0.627
0.685
11.42
4284.838
0.133
1.430
-544
13-24
0.097
.050
•139
12-43
0.058
0.636
0.694
"•57
4287.566
0.134
1.440
-554
13-32
0.098
.060
.149
12-54
0.057
0.626
0.684
11.40
4288.310
0.135
1.450
-564
13-41
0.098
.060
1.149
12.54
0.058
0.636
0.694
"•57
4289.525
0.135
1.450
•564
13-41
0.097
1.050
I-I39
12-43
0-059
0.646
0.704
"•75
4290-377
0.135
1.449
-563
13.40
0.098
1.059
1.148
12-53
0.058
0.636
0.694
"•57
4290.542
0.134
1-439
•553
13-31
0.097
1.049
1.138
12.43
0.058
0.636
0.694
"•57
4291.630
0.134
1-439
•553
13-31
0.098
1.059
1.148
12-53
0.058
0.636
0.694
"•57
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908.
93
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate w 166. 1908, Aug. 27, 6h 45m G. M. T. Measured by L. on T. Distance from Limb 1.6 mm. Quality, good.
p-P
sec i?
— O.2
G
IS4- 1
24.2
25.2
64.8
17.0
1.046
o-n
79.6
40.1
40.6
49-4
II.O
1.019
p
— 20. i
55-6
SS-9
34-1
8.6
I. Oil
D
7-i
70.8
70.9
19.1
7-5
1.009
Diameter
168.8 mm
78.3
78.4
n.6
7-3
1.008
Factor
1.019
85.8
85.8
4.2
7-i
1.008
*-
4!*
*-
«M
0 =
*
A
11
,-M,
*
A
V
. + ,,
a
A
V
. + ,,
•
b
4196.699
0.172
km
1.892
km
2.028
14.44
0.168
km
1.847
km
1.981
14.36
0.158
km
-738
ktt
1.867
14-03
4197-257
0.174
1.912
2.048
14-58
0.168
1.847
1.981
14-36
0.158
-738
.867
14.03
4203.730
0-173
1.898
2-034
14.48
0.169
1-853
1.987
14.40
0.159
•745
.874
14.08
4207.566
0.176
1.930
2.066
14.71
0.169
1.852
1.986
14-39
o.i 60
•751
.880
14.12
4216.136
0.176
I-925
2.061
14.67
o.i 68
I-837
I.97I
14.29
o.i 60
•749
.878
14.10
4220.509
0.178
1-944
2.080
14.81
0.171
i. 86 1
1-995
14.46
o.i 60
.748
.877
14.09
4232.887
0.178
1.936
2.072
14-75
0.169
1.839
1-973
14.30
0.161
•752
.881
14-13
4233-328
0.178
1.936
2.072
14-75
0.172
1.869
2.003
14-52
0.162
.761
.890
14.20
4257-815
0.179
1-933
2.069
14-73
0.171
1.849
1-983
14-37
0.162
•750
.879
14.11
4258.477
0.177
I-9I3
2.049
14-59
0-173
1.868
2. OO2
14-51
0.162
•750
.879
14.11
4265.418
0.177
1-907
2.043
14-55
0-173
1.863
1-997
14.47
0.161
•737
.866
14.02
4266.081
0.178
1.916
2.052
14.62
0.172
1.846
1.980
14-35
0.162
1-747
.876
14.09
4268.915
0.178
1.916
2.052
14.62
0.172
1-845
1-979
14-34
0.162
1-745
.874
14-07
4276.836
0.178
I-9I3
2.049
14-59
0.173
1.854
1.988
14.41
0.161
1-729
.858
13.96
4283.169
0.177
1.898
2.034
14.48
0.172
1.844
1.978
14-33
0.162
1-738
.867
14-03
4284.838
0.176
1.886
2.O22
H-39
0.171
1-833
1.967
14.26
0.162
1-737
.866
14.02
4287.566
0.177
1.898
2.034
14.48
0.173
1-853
1.987
14.40
0.162
•737
.866
14.02
4288.310
0.179
1.916
2.052
14.61
0.172
1.842
1.976
14.32
0.163
•747
.876
14.09
4289.525
0.178
1.906
2.042
14-54
0.174
1-863
1-997
14-47
0.163
•747
.876
14.09
4290.377
0.178
1-905
2.041
14-53
0-173
1.851
1.985
14-39
0.162
•737
.866
14.02
4290.542
0.179
1-915
2.O5I
14.60
0.172
1.841
1-975
14.28
0.163
•747
1.876
14.09
4291.630
0.176
1-885
2.021
14-38
0.173
1.851
1.985
14-39
0.164
.756
1.885
H-iS
0 =
34U
0 =
4*4
0 =
64:8
-
4196.699
0.130
1-434
1.548
13.27
0.096
1.065
•154
12-59
0-055
0.622
0.680
"•34
4197.257
0.129
.424
1-538
13-19
0.094
1.045
•134
12.37
0.054
0.612
0.670
11.17
4203.730
0.132
•451
1-565
13-42
0.096
1.064
•153
12.58
0.056
0.628
0.686
11.42
4207.566
0.131
.441
1-555
13-33
0.098
1.086
•175
12.82
0.057
0.637
0.695
11.58
4216.136
0.130
.426
1.540
13.20
0.096
1. 060
.149
12.54
0.057
0.636
0.694
11-57
4220.509
0.134
.468
1.582
13-57
0.096
1.059
.148
12.52
0.058
0.646
0.704
"•74
4232.887
0-133
•451
1-565
13-42
0.097
1.065
•154
12.59
0.057
0.635
0.693
11.56
4233.328
0-134
.462
I-576
13-51
0.096
1-055
•144
12.48
0.056
0.625
0.683
11.38
4257-815
0-134
•453
1-567
13-44
0.098
1.069
.158
12.63
0.058
0.638
0.696
11-59
4258.477
0.136
•474
1.588
13.62
0.098
1.069
.158
12.63
0.058
0.638
0.696
"•59
4265.418
0-135
•458
1-572
13-47
0.097
1-053
.142
12.46
0.057
0.627
0.685
11.40
4266.081
0-134
.448
1.562
I3-38
0.097
1-053
.142
12.46
0.058
0.637
0.695
11.58
4268.915
0-135
-458
1-572
13-47
0.098
1.063
•152
12.57
0.058
0.637
0.695
11.58
4276.836
0.134
•443
1-557
13-34
0.098
1.062
•IS'
12.56
0.057
0.627
0.685
11.40
4283.169
0.134
.441
1-555
13-33
0.098
1.062
•151
12.56
0.058
0.637
0.695
11.58
4284.838
0-135
•451
1-565
13-42
0.098
1.061
-ISO
12-55
0.059
0.646
0.704
11.74
4287.566
0-134
.440
1-554
13-32
0.098
1.061
.150
12-55
0.057
0.626
0.684
"•39
4288.310
0.134
•440
1-554
13-32
0.097
1.051
.140
12-44
0.058
0.636
0.694
"•57
4289.525
0-135
1.450
1-564
13-41
0.098
1.061
•ISO
12-55
0.059
0.646
0.704
n-74
4290.377
0.134
1-439
1-553
I3-3I
0.098
i. 060
.149
12.54
0.057
0.626
0.684
"•39
4290.542
0.134
1-439
1-553
I3-3I
0.098
i. 060
•149
12.54
0.058
0.636
0.694
11-57
4291.630
0-135
1-449
1-563
13-40
0.009
1.070
•159
12.65
0.058
0.636
0.694
11-57
94 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE n. — RESULTS TOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — -Continued.
Plates o> 179 and a 180. 1908, Sept. 30, nh 40™ G. M. T. ^Measured by L. on T. Distance from Limb i.o mm. Quality, good.
p— P -w <t> T} secy
29.2 29.9 60.1 13.5 1.028
O 187.4
o-n 112.9
p -26.2
D 6.7
Diameter 170.6 mm
Factor 1.012
X
<t> = 6oti
•t> = 6o!i
<t> = 60! I
<t> = 6o°i
A
»3
v + v1
*
A
»
» + »,
1
A
I)
» + »,
J
A
V
P + Bj
£
km
km
0
km
km
0
km
km
0
km
km
0
4196.699
0.070
0-779
0.852
12.14
0.070
0-779
0.852
12.14
0.064
0.718
0.791
11.27
0.065
0.728
0.801
11.41
4197-257
0.070
0.779
0.852
12.14
0.070
0.779
0.852
12.14
0.065
0.728
0.801
11.41
0.065
0.728
0.801
11.41
4203.730
0.070
0.778
0.851
12.12
0.070' 0.779
0.852
12.14
0.065
0.726
0.799 "-38
0.065
0.727
0.800
11.40
4207.566
0.072
0.797
0.870
12.39
0.071
0.787
0.860
12.25
0.065
0.725
0.798
u-37
0.066
0-735
0.808
11.51
4216.136
0.071
0.786
0.859
12.24
0.070
0.776 0.849
12.09
0.064
0.714
0.787
II. 21
0.065
0.723
0.796
n-34
4220.509
0.072
Q-795
0.868
12.36
0.072
0.795 0.868
12.37
0.066
0.732
0.805
11.47
0.067
0.741
0.814
"•59
4232.887
0.072
0-793
0.866
12-33
0.072
0.794
0.867
12-35
0.065
0.720
0-793
11.29
0.065
0.720
0-793
11.29
4233-328
0.072
0-793
0.866
12-33
0.073
0.803
0.876
12.48
0.066
0.730
0.803
11.44
0.066
0.730
0.803
11.44
4257-815
0.074
0.808
0.881
12-55
0.074
0.808
0.881
12-55
0.068
0.746
0.819
11.67
0.067
0-735
0.808
11.51
4258.477
0.072
0.788
0.861
12.26
0.072
0.788 0.86 1
12.26
0.067
0.736
0.809
11.52
0.067
0-735
0.808
11.51
4265.418
0.072
0.787
0.860
12.25
0.073
0.798
0.871
12.40
0.068
0.744
0.817
11.64
0.067
0.734
0.807
11.49
4266.081
0.073
0-797
0.870
12.39
0.074
0.808
0.881
12.55
0.068
0.744
0.817
11.64
0.069
0-754
0.827
11.78
4268.915
0.072
0.787
0.860
12.25
0.074
0.807
0.880
12.53
0.068
0-744
0.817
11.64
0.067
0-734
0.807
11.49
4276.836
0.074
0.805
0.878
12.51
0.074
0.806
0.879
12.52
0.067
0-733
0.806
11.48
0.068
0-743
0.816
11.62
4283.169
0.072
0.783
0.856
12.19
0.073
0.794
0.867
12-35
0.067
0.732
0.805
11.47
0.067
0-733
0.806
11.48
4284.838
0.072
0.783
0.856
12.19
0.074
0.804
0.877
12.49
0.068
0.742
0.815
11.61
0.067
0-733
0.806
11.48
4287.566
0.073
0.792
0.865
12.35
0.074
0.803
0.876
12.48
0.068
0.742
0.815
ii. 61
0.068
0-742
0.815
II.OI
4288.310
0.074
0.802
0.875
12.47
0.073
0-793
0.866
12.34
0.068
0.742
0.815
11.61
0.067
0.732
0.805
11.47
4289.525
0.074
0.802
0.875 12.47
0.074
0.803
0.876
12.48
0.069
0.752
0.825
"•75
0.068
0.742
0.815
ii. 61
4290.377
0.073
0.792
0.865
12.32
0.072
0.783
0.856
12.20
0.068
0.742
0.815
11.61
0.067
0.732
0.805
11.47
4290.542 0.073! 0.792
0.865
12.32
0.073
0-793
0.866
12-34
0.067
0.730
0.803
11.44
0.069
0.752
0.8251 11.75
4291.630
0.074
0.802
0.875
12.47
0.073
0-793
0.866
12.34
0.068
0.740
0-813
n-59
0.071
0.772
0.845
12.04
Plate w 182. 1908, Oct. 9, nh om G. M. T. Measured by L. on T. Distance from Limb i.o mm. Quality, good.
p — P TT <f V secy
G
o-n
p
196.2
121.7
—26.5
— O.I
55-9
70.9
78.9
56.1
71.0
79-o
33-9
19.0
i i.o
7-4
6-5
6-3
1.008
i. 006
i. 006
D 6.1
Diameter 172.6 mm
Factor i .01 2
\
<t> =
II°O
0 =
n?o
0 =
iQ?o
0 =
33?9
A
A
V
fl + Hj
£
A
1!
» + *,
J
A
11
» + »,
{
A
•a
» + »i
«
km
km
0
km
km
0
km
km
0
km
km
»
4196.699
0.169
1.843
1.981
14-33
0.169
1.843
1.981
14-33
0-157
.711
1-845
13.85
0.125
1-365
1.485
12.70
4197-257
0.170
1.852
1.990
14-39
0.170
1.852
1.590
14-39
0.158
.721
1.855
13.93
0.125
.365
I.48S
12.70
4203.730
0.171
1.861
1.999
14.46
0.172
1.872
2.009
14-53
0.157
•70S
1.839
13.81
0.127
•384
1.504
12.86
4207.566
0.172
1.869
2.007
14-52
0.172
1.865
2.OO2
14.48
o.i 60
•731
1.865
14.00
0.127
•382
1.502
12.85
4216.136
0.172
1. 860
1.998
14-45
0.171
1.852
1.990
14-39
0.159
.718
1.852
13.91
0.126
.367
1.487
12.72
4220.509
0.172
1.858
1.996
14.44
0.172
1.856
1.994
14.42
0.160
.725
1. 860
13-97
0.126
•366
1.486
12.71
4232.887
0.173
1-865
2.003
14.49
0.173
1.863
2.OOI
:4-47
o.i 60
.724
1.859
13.96
0.128
.381
I.50I
12.84
4233-328
0.173
1.865
2.003
14.49
0.172
1.853
I.99I
14.40
0.161
•734
1.868
14.03
0.126
•360
1.480
12.66
4257-815
0.175
1.874
2.OI2
14-55
0.172
1.843
1.981
14-33
o.i 60
.712
1.846
13.86
0.128
•372
1.492
12.77
4258-477
0.174
1.863
2.OOI
14-47
0.174
1.862
2.000
14.46
0.160
.712
1.846
13.86
0.127
•362
1.482
12.68
4265.418
0.174
1.859
1-997
14.44
0-173
1.848
1.986
14-36
0-159
1.697
1.831
13-75
0.127
.361
1.481
12.67
4266.081
0.174
1.859
1.997
14.44
0.174
1.859
1.997
14.44
0.161
1-715
1.849
13-88
0.129
.380
1.500
12.83
4268.915
0.174
1-855
1-993
14.41
0.174
1.856
1.994
14.42
0.161
1.714
1.848
13.88
0.126
•347
1.467
12-55
4276.836
0.173
1.843
1.981
14-33
0.173
I-843
1.981
14-33
o.iS9
1.693
1.827
13.72
0.126
•345
I-465
12.53
4283.169
0.173
1-838
1.976
14.29
0.174
1.848
1.986
14.36
0-159
1.689
1.823
13.69
0.127
•352
1.472
12-59
4284.838
0.174
1.848
1.986
14.36
0.173
1.837
1-975
14.28
0.160
1.699
1-833
13.76
0.127
•352
1.472
12.59
4287.566
0.174
1.847
1.985
14-35
O.I7S
I-857
'•995
14.42
0.160
1.698
1.832
13.76
0.127
•351
1.471
12.58
4288.310
0.174
1.847
1.985
14.35
0.174
1.847
1.985
14-35
o.i 60
1.698
1.832
13.76
0.127
•351
1.471
12.58
4289.525
0.173
1.836
1-974
14.28
0.175
1.856
1.994
14.41
o.i 60
1.698
1-832
13.76
0.128
.361
1.481
12.67
4290.377
0.173
1.836
1-974
14.28
0-175
1.856
1.994
14.41
0.159
1.688
1.822
13.68
0.128
.361
1.481
12.67
4290.542
0.174
1.846
1.984
14-35
0-175
1.856
1.994
14.41
0.159
1.688
1.822
13.68
0.128
.361
1.481
12.67
4291.630
0.172
1-825
1.963
14.20
0-175
1.856
1.994
14.41
0-157
1.718
1.852
13.91
0.128
.361
1.481
12.67
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908.
95
TABLE it. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate w 183. 1908, Oct. 9, nh om G. M. T. Measured by L. on T. Distance from Limb i.o mm. Quality, good.
P-F
secv
— O.I
G 196.2
55-9
56.1
33-9
7-4
i. 008
o-n 121.7
70.9
71.0
19.0
6-5
i. 006
P -26.5
78.9
79.0
II.O
6-3
i. 006
D 6.1
Diameter 172.6 mm
Factor 1.012
0 =
i.?o
0 =
.*
0 =
19*0
0 =
.0!0
A
V
. + ,,
8
A
D
„ + ,,
£
A
ii
» + r,
1
A
V
* + .,
£
4196.699
0.170
km
1-851
km
1.989
o
14.38
0.170
km
.851
km
1.989
14-38
0.158
km
.722
km
1.856
13-94
0.158
km
1.722
km
.856
13-94
4197-257
0.169
1.841
1-979
14-31
0.170
.851
1.989
14.38
0.158
.722
1.856
13-94
0.158
1.722
-856
13-94
4203.730
0.172
1.870
2.008
14-52
0.173
.878
2.016
14.58
o.i 60
•741
I-875
14.08
0.159
1.729
.863
13-99
4207.566
0.171
1.854
1-992
14.41
0.171
•8S4
1-992
14.41
0.161
•749
1.883
14.14
o.i 60
1.738
.872
14.06
4216.136
0.171
1.851
1.989
14-38
0.171
.851
1.989
14-38
0.159
.726
1.860
13-97
o.i 60
1-734
.868
14.03
4220.509
0.172
I.8S5
1-993
14.41
0.174
.878
2.016
14.58
o.i 60
•734
1.868
14-03
o.i 60
1-732
.866
14.01
4232.887
0.171
1.842
1.980
14-32
0.174
.875
2-013
H-S6
0.162
•745
1.879
14.11
o.i 60
1-725
•859
13.96
4233-328
0.172
1.852
1.990
14-39
0.173
.864
2.OO2
14.48
0.161
•735
1.869
14-03
0.161
1-735
.869
14-03
4257-8IS
0.174
1.862
2.000
14-46
0.174
.861
1-999
14.46
0.164
•755
1.889
14.18
0.162
1-734
.868
14.02
4258.477
0.174
I.86I
1-999
14.46
0.174
.861
1-999
14.46
0.161
•724
1.858
13-95
0.161
1-724
-858
13-95
4265.418
0.174
I.857
1-995
14-43
0.174
.857
1-995
14-43
0.161
.721
1-855
13-93
0.161
1.724
.858
13-95
4266.081
0.175
1.867
2.005
14-50
0-173
.846
1.984
14-45
0.162
-730
1.864
14.00
0.162
1-734
.868
14.02
4268.915
0.174
1.855
1-993
14.41
0.174
.855
1-993
14.41
0.162
•729
1.863
13-99
0.162
1.729
-863
13-99
4276.836
0.174
1.862
2.OOO
14.46
0-175
.863
2.001
14-47
0.162
.726
i. 860
13-97
0.161
1.716
.850
13.90
4283.169
0.174
1.848
1.986
14-37
0.176
.867
2.OO5
14.50
0-163
•731
1.865
14.00
0.162
1.721
.855
13-93
4284.838
0.174
1.847
1.985
14-36
0.175
•857
•995
14-43
0.162
.721
1-855
13-93
0.162
.721
•855
13-93
4287.566
0.174
1.846
1.984
14-35
0.175
-856
•994
14.42
0.163
•731
1.865
14.00
0.161
.710
.844
13-85
4288.310
0.174
1.846
1.984
14-35
0.174
.846
•984
14-35
0.162
.720
1-854
13.92
0.162
.720
•854
13-92
4289.525
0.175
I.855
1-993
14.41
0.175
-855
-993
14.41
0.162
•719
1-853
13-91
0.162
-719
.853
13.92
4290.377
0.173
I.835
1-973
14-27
0-175
-855
•993
14.41
0.162
.719
1-853
13-91
0.161
.709
1.843
13-84
4290.542
0.175
1.855
1-993
14.41
0.176
.865
2.003
14.48
0.164
•739
1-873
14.06
0.162
.719
1-853
13-91
4291.630
0.175
1.855
1-993
14.41
0-7I5
•855
1-993
14.41
0.162
•719
1-853
13-91
0.162
.719
I.8S3
13-91
0 =
ig°o
0 =
33!,
0 =
33^9
0 =
33 °9
4196.699
0.159
1.732
1.866
14.01
0.131
•431
•551
13-27
0.130
1.420
1.540
13-17
0.129
1.411
•531
13.10
4197-257
0.159
1-732
1.866
14.01
0.131
•431
•551
13.27
0.130
1.420
1-540
13-17
0.130
1.420
•540
13-17
4203.730
o.i 60
1-741
1-875
14.08
0.132
•439
•559
13-33
0.132
1.438
I.558
13-33
0.131
1.428
.548
13-24
4207.566
o.i 60
1.738
1.872
14.06
0.132
•437
•557
13-32
0.132
1-437
1-557
13-32
0.131
1-425
•545
13.22
4216.136
o.i 60
1-735
1.869
14.03
0.131
.419
•539
13.16
0.130
.416
I-536
13-14
0.131
1-423
•543
13.20
4220.509
0.160
1.732
1.866
14.01
0.131
.418
-538
13.16
0.132
•432
1-552
13-28
0.132
1-432
-552
13.28
4232-887
0.161
1-736
1.870
14.04
0.132
.426
•546
13.22
o.i34
.446
1.566
13-39
0.132
1-429
•549
13-25
4233-328
o.i 60
1-724
1.858
13-95
0.132
.426
•546
13.22
0.133
•436
1.556
13-31
0.134
1-447
.567
13-40
4257-8I5
0.161
1.724
1-858
13-95
0.135
•449
•569
13-42
0-I3S
•449
1.569
13-41
0.134
1-437
•557
13-32
4258.47?
0.162
1-734
1.868
14.03
0.134
•438
-558
13-33
0-134
•438
I.558
13-33
0.132
1.417
•537
13-15
4265.418
0.161
1.721
1-855
13-93
0.132
•413
•533
13-11
0.133
.424
1-544
13.21
0.133
1.424
•544
13.21
4266.081
0.162
i-73i
1.865
14.00
0.133
•423
•543
13.20
0.134
•434
1-554
13.29
0.133
1-424
•544
13-21
4268.915
0.162
1.727
1.861
13-97
0.134
•432
•552
13.28
0.135
•444
1-564
13-38
0-134
1-432
•552
13.27
4276.836
0.116
1.849
13-89
0.134
•431
•551
13-27
0.134
•431
i-SSi
13-27
0.133
1.420
•540
13-17
4283.169
0.126
1.721
I-85S
13-93
0.134
•427
•547
13-23
0.134
.426
I-546
13.22
o.i33
1.417
•537
13-15
4284.838
0.161
1.711
1.845
13-85
0.134
.427
•547
13-23
0.134
.426
1.546
13.22
0.132
1.407
.527
13-06
4287.566
0.161
1.711
1-845
13-85
0-134
.426
•546
13.22
0.133
•415
1-535
13-13
0.134
1-429
•549
13-25
4288.310
0.162
1.720
1.854
13-92
0.134
•425
•545
13.22
0.133
•415
1-535
I3-I3
0-133
1.419
•539
13.16
4289.525
0.162
1-719
1-853
13-91
0-135
•435
•555
13-30
0-133
•415
1-535
13-13
0.134
1.429
•549
13-25
4290.377
0.161
1.709
1-843
13-84
0.135
•435
•555
13-30
0-135
•435
1-555
I3-30
0-133
1-419
•539
13.16
4290.542
0.162
1-7I9
1-853
13-91
0.134
•425
•545
13.22
0.135
•435
1-555
13-30
0-134
1.429
1-549
13-25
4291.630
0.163
1.729
1-863
13-99
0.135
I-43S
•555
13-30
0.134
•425
1-545
13.22
0.136
1.446
1.566
13-39
96 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS or 1908 — -Continued.
Plate w 184. 1908, Oct. 22, 6h 30'" G. M. T. Measured by L. on T. Distance from Limb 1.3 mm. Quality, good.
P-f
sec*?
o.o
0
209.0
24.0
24-5
6S.5
12.5
1.024
O-Q
I34-S
29-3
29.7
60.3
10.5
1.017
P
-25-9
39-7
40.0
50.0
8.1
I.OIO
D
5-i
86.0
86.0
4.0
5-2
1.004
Diameter
171.2 mm
Factor
1.015
\
*-*
0 = 5o°o
0 = So!o
A
A
V
. + „
f
A
'
. + ,,
s
A
•
, + „
«
4196.699
0.176
km
1.920
km
2.060
14.66
0.092
km
I.OIO
km
.109
o
12.25
0.093
km
I.O2O
km
I.II9
0
12.36
4197-257
0.176
1.920
2.060
14.66
0.092
I.OIO
.109
12.25
0.093
I.O2O
1.119
12.36
4203.730
0.176
I-9I5
2-055
14.62
0.093
1.017
.116
12-33
0.094
1.030
1.129
12.47
4207.566
0.177
1.924
2.064
14.69
0.093
1.015
.114
12.30
0.094
1.028
1.127
12.45
4216.136
0-177
1.919
2.059
14-65
0.092
1.004
•103
12.18
0.094
1.023
1. 122
12.39
4220.509
0.178
1.928
2.068
14-72
0.094
1.023
.122
12.39
0.095
1.032
1.131
12.49
4232-887
0.178
.921
2.061
14.67
0.094
1. 020
.119
12.36
0.094
1.020
I.II9
12.36
4233-328
0.180
.941
2.081
14.81
0.095
1.030
.129
12.47
0.095
1.030
I.I29
12.47
4257-815
0.180
.928
2.068
14.72
0.094
1.013
.112
12.28
0.097
1.043
1.142
I2.6l
4258-477
0.179
.918
2.058
14-65
0.095
1.023
.122
12.39
0.095
I.O22
1. 121
12.38
4265.418
0.179
.914
2-054
14.62
0.094
I.OI2
.III
12.27
0.094
I .Oil
i. no
12.26
4266.081
0.181
•934
2.074
14.76
0.096
1.032
•131
12.49
0.095
1. 02 I
1. 1 20
12.37
4268.915
0.180
.921
2.061
14.67
0.094
I.OO9
.108
12.24
0.096
1.030
1.129
12-47
4276.836
0.180
.919
2.059
14-65
0.094
1.008
.107
12.23
0.096
I.O29
1.128
12.46
4283.169
0.180
•913
2-053
14.61
0.095
1.016
•"5
12.32
0.097
1.036
I-I35
12-54
4284.838
0.180
•913
2-053
14.61
0.095
1.016
.115
12.32
0.097
1.036
'•'35
12-54
4287.566
0.180
.912
2.052
14.60
0.094
1.005
.104
12.19
0.096
I.O26
1.125
12-43
4288.310
0.179
.902
2.042
14-53
0.095
1.015
.114
12.30
0.097
1.036
I-I35
12.54
4289.525
0.180
.912
2.052
14.60
0.097
1.036
•135
12.54
0.098
1.046
I-I45
12.65
4290.377
0.180
.912
2.052
14.60
0.094
1.005
1.104
12.19
0.096
1-025
1.124
12.41
4290.542
0.180
.912
2.052
14.60
0.095
1.015
1.114
12.30
0.098
1.046
I-I45
12.65
4291.630
0.181
.922
2.062
14.67
0.095
1.015
1.114
12.30
0.097
1.035
I-I34
12.52
\
, = 60:3
<t> = 6o°3
* = 65:s
* = 65!S
A
A
V
, + .,
«
A
D
M-i
1
A
V
. + ,,
£
A
V
. + .,
s
4196.699
0.065
km
0.719
km
0.799
"•45
0.066
km
0.729
km
0.805
iJ-59
0-053
km
0.589
km
0.657
11.25
0-053
km
0.588
km
0.656
11.23
4I97-257
0.066
0.729
0.805
"•59
0.066
0.729
0.805
"•59
0.054
0.600
0.668
11.44
0-053
0.588
0.656
11.23
4203.730
0.068
0.750
0.830
11.89
0.067
0-739
0.815
11.74
0.053
0.588
0.656
n-57
0.054
0.598
0.666
11.40
4207.566
0.068
0.749
0.825
11.88
0.067
0-739
0.815
11.74
0.054
0.598
0.666
11.40
0.054
0-597
0.665
11.38
42l6.I36
0.067
0.738
O.SlS
11.72
0.066
0.728
0.808
11.58
0.053
0.586
0.654
n. 20
0.053
0.585
0-653
11.18
422O.5O9 O.O68
0.746
0.826
11.84
0.068
0.746
0.82^
11.84
0-053
0.584
0-652
ii. 16
0-053
0.584
0.652
ii. 16
4232.887
0.069
0-754
0.834
"•95
0.067
0-734
11.66
0-055
0.605
0.673
11.52
0-053
0.583
0.651
11.14
4233-328
0.068
0-744
0.824
11.81
0.070
0.764
0.84/
12.09
0.054 0.593
0.66 1
11.32
0.054
0-593
0.661
11.32
4257-8I5
0.068
0-739
o.Sic
11.74
0.070
0.758
0.838
12.01
0.055 0.600
0.668
11.44
0.055
0.601
0.669
"•45
4258.477 ! 0.068
0-739
0.819
11.74
0.069
0.748
0.828
11.86
0-055
0.600
0.668
n-44
0.055
0.601
0.669
11-45
4265.418
0.069
0.748
0.828
11.86
0.070
0.758
0.838
12.01
0.053
0.578
0.646
1 1. 06
0.055
0.600
0.668
11.44
4266.081
0.069
0.748
0.828
11.86
0.069
0.748
0.828
11.86
0.057
0.622
0.690
11.81
0.056
0.610
0.678
n. 61
4268.915
0.069
0.746 0.826
11.84
0.070
0-757
0-837
11.99
0.056
0.610
0.678
1 1. 6 1
0.056
0.609
0.677
"•59
4276.836
0.068
0-734
O.8l<!
11.86
0.071
0.766
0.84^
12.12
0.056
0.609
0.677! 11.59
0.054
0.587
0-655
II. 21
4283.169
0.069
0-743
0.823
11.79
0.068
0-733
0.813
11.65
0.056
0.607
0.675! 11.56
0.054
0.586
0.654
II. 20
4284.838
0.070
0-754
0.834
"•95
0.069
0.743
0.823
11-79
0.055
0-597
0.665
ii. 61
0.054
0.586
0.654
II-54
4287.566
0.068
0-734
O.8l<:
11.66
0.069
0-743
0.823
11.79
0-055
0.596
o.66<:
n-37
0.055
0.596
0.664
ii-54
4288.310
0.067
0.723
0.803
11.51
0.070
0-753
0.833
11-94
0.056
0.606
0.674
n-54
0-055
0.596
0.664
11-37
4289.525
0.070
o-753| 0.833
11.94
0.070
0-753
0-833
11.94
0.056
0.606
0.674
"•54
0.057
0.617
0.685
"•73
4290.377
0.070
0-753
0.833
11.94
0.069
0-742
0.822
11.78
0.056
0.606
0.674
n-54
0.054
0.585
0.653
ii. 18
4290.542
0.070
0-753
0.833
11.94
0.071
0.763
0.843
1 2.08
0.057
0.616
0.684
11.71
0.056
0.606
0.674
"•54
4291.630
0.069
0-743
0.823
11.79
0.070
0-753
0-833
11-94
0.056
0.606
0.674
n-54
0-055
0-595
0.663
"•35
RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908.
97
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS or 1908 — Continued.
Plate w 185. 1908, Oct. 22, 6h 3om G. M. T. Measured by L. on T. Distance from Limb 1.3 mm. Quality, good.
O 209.0
0-0 I34-S
P -25-9
D 5.1
Diameter 171.2 mm
Factor 1.015
p-P
o.o
24.0
39-7
86.0
24-5
40.0
86.0
65.5
50.0
4.0
12.5
8.1
5-2
sec*)
1.024
I.OIO
1.004
0 =
4!°
0 =
5o!o
0 =
5°!°
X
A
t)
. + .,
'
A
ti
,-M,
«
A
D
V + Sj
1
4196.699
0.176
km
1.920
km
2.060
14.66
0.091
km
0.999
km
1.098
12.13
0.091
km
0.999
km
.098
0
12.13
4197.257
0.176
1.920
2.060
14.66
0.091
0.999
1.098
12.13
0.091
0-999
.098
12.13
4203-730
0.177
1.926
2.066
14.70
0.092
1.008
.107
12.23
0.092
1. 008
.107
12.23
4207.566
0.177
1.924
2.064
14.69
0.092
1. 006
.105
12.21
0.092
1.007
.106
12.22
4216.136
0.177
1.921
2.061
14.67
0.092
1.004
•103
12. l8
0.092
1.005
.104
12.19
4220.509
0.178
1.928
2.068
14.72
0.093
I. Oil
.no
12.26
0.092
1.003
.102
12.17
4232.887
0.178
1.921
2.061
14.67
0.092
0.999
.098
12.13
0.094
1.015
.114
12.30
4233-328
O.I 80
1.941
2.081
14.81
0.093
1.009
.108
12.24
0.094
1.015
.114
12.30
4257-815
0.180
1.929
2.069
14.72
0.094
1.013
.112
12.28
0.093
1-003
.102
12.17
4258.477
0.180
1.928
2.068
14.72
0.092
0.992
.091
12.05
0.093
1.003
.102
12.17
4265.418
0.179
1.914
2-054
14.62
0.094
I.OIO
.109
12.25
0.094
I.OIO
.109
12.25
4266.081
0.181
1-934
2.074
14.76
0.093
1. 000
•099
12.14
0.093
I.OOO
.099
12.14
4268.915
0.179
1.911
2.051
14.60
0.094
1.009
.108
12.24
0.094
I.OIO
.109
12.25
4276.836
0.180
1.919
2.059
14.65
0.093
0.998
.097
12.12
0.094
1.008
.107
12.23
4283.169
0.180
1.914
2-054
14.62
0.094
1. 006
.105
12.21
0.094
1. 006
.105
12.21
4284.838
0.180
1.914
2.054
14.62
0.093
0.996
•095
12. IO
0.094
1. 006
•105
12.21
4287.566
0.180
I-9I3
2.053
14.61
0.094
1.005
.IO4
12.19
0.093
0-995
1.094
I 2. 08
4288.310
0.181
1.923
2.063
14.68
0.095
1.015
.114
12.30
0.093
0-995
1.094
I 2. 08
4289.525
0.180
1.912
2.052
14.60
0.093
0.995
.094
I 2. 08
0.095
1.015
I.II4
12.30
4290.377
0.179
1.902
2.042
14-53
0.094
1.005
.IO4
12.19
0.094
1.005
I.I04
12.19
4290.542
0.180
1.912
2.052
14.60
0.094
1.004
.103
12. 18
0.094
1.005
I.I04
12.19
4291.630
0.181
1.922
2.062
14.67
0.094
1.004
.103
12.18
0.096
1.025
I.I24
12.41
0 =
asts
0=
«*
4196.699
0.051
0.567
0.635
10.87
0.050
0-559
0.627
10-73
4'97-257
0.051
0.567
0.635
10.87
0.051
0.570
0.638
10.92
4203.730
0.052
0-577
0.645
11.04
0.052
0-579
0.647
II.OS
4207.566
0.051
0.566
0.634
10.85
0.052
0-577
0.645
II.O4
4216.136
0.052
0.576
0.644
11.03
0.051
0.564
0.632
10.82
4220.509
0.052
0-575
0.643
II.OI
0.052
0-575
0.643
II.OI
4232.887
0.054
0-593
0.66 1
11.32
0.052
0-573
0.641
10.97
4233-328
0.054
0-593
0.661 '
11.32
0.054
0-593
0.661
11.32
4257.8i5
0.054
0.590
0.658
11.26
0-053
0.580
0.648
11.09
4258.477
0.054
0.590
0.658
11.26
0.052
0.569
0.637
10.90
4265.418
0-053
0-579
0.647
11.08
0.054
0.589
0.657
11.25
4266.081
0.055
0.600
0.668
11.44
0.055
0.600
0.668
11.44
4268.915
0-055
0-599
0.667
11.42
0-055
o.599
0.667
11.42
4276.836
0.054
0.588
0.656
11.23
0.054
0.587
0.655
II. 21
4283.169
0.054
0.587
0-655
II. 21
0.054
0.586
0.654
II. 2O
4284.838
0.054
0.587
0-655
II. 21
0.053
0.576
0.644
11.02
4287.566
0.054
0.586
0.654
II. 2O
0-053
0-575
0.643
II.OI
4288.310
0.055
0.596
0.664
11.47
0.053
0-575
0.643
II.OI
4289.525
0.054
0.586
0.654
11.20
0.053
0-575
0.643
II.OI
4290.377
0-053
0.576
0.644
11.02
0.053
0-575
0.643
II.OI
4290.542
0.054
0.586
0.654
1 1. 2O
0.053
0-575
0.643
II.OI
4291.630
0.054
0.586
0.654
II. 2O
0.054
0.585
0-653
11.18
98 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE n. — RESULTS FOR INDIVIDUAL PLATES. OBSERVATIONS OF 1908 — Continued.
Plate w 186. 1908, Oct. 22, 7'' 45m G. M. T. Measured by L. on T. Distance from Limb i.o mm. Quality, good.
C 209.0
0-n 134-5
, P -25-9
D 5.1
Diameter 171.2 mm
Factor 1.012
p-P
o.o
24.0
39-7
86.0
24-5
40.0
86.0
65.5
50.0
4.0
12.5
8.1
5-2
secy
1.024
I.OIO
1.004
0 =
4t°
</> =
4!°
0 =
s°!°
A
V
» + »,
*
A
•o
II + D,
1
A
11
V +1> i
£
4196.699
0.176
km
.920
km
2.060
14.66
0.176
km
1.920
km
2.060
14.66
0.091
km
I.OOO
km
1.099
12.14
4197-257
0.176
.920
2.060
14.66
0.176
1.920
2.060
14.66
0.092
I.OIO
1.109
12.25
4203.730
0.177
.926
2.066
14.70
0.176
I.9I5
2-055
14.62
0.092
I.OIO
1.109
12.25
4207.566
0.177
•924
2.064
I4-69
0.177
1.921
2.061
14.67
0.091
0.997
1.096
12. IO
4216.136
0.177
.921
2.061
14.67
0.176
1.909
2.049
14-58
0.093
•015
I.II4
12.30
4220.509
0.178
.928
2.068
14.72
0.177
1.917
2.057
14.64
0.094
.021
.120
12-37
4232.887
0.178
.919
2.059
14.65
0.178
1.920
2.o6o
14.66
0.093
.009
.108
12.24
4233-328
0.177
.909
2.049
14.58
0.178
1.920
2.060
14.66
0.093
.009
.108
12.24
4257-815
0.179
.918
2-058
14.65
0.181
1.938
2.078
14-79
0.093
.OO2
.IOI
12. 16
4258.477
0.179
1.918
2.058
I4-6S
0.180
1.928
2.068
14-72
0.093
.002
.101
12. l6
4265.418
0.178
1.901
2.041
I4-52
0.181
1.922
2.062
14.67
0.093
.000
.099
12.14
4266.081
O.I 80
1.921
2.061
14.67
0.182
1.942
2.082
14.82
0.094
.010
.109
12.25
4268.915
0.180
1.920
2.060
14.66
0.180
1.921
2.061
14.67
0.094
.009
.108
12.24
4276.836
0.178
1.898
2.038
I4-5I
0.179
1.909
2.049
14.58
0-093
0.998
•097
12.12
4283.169
0.180
1.916
2.056
14.63
0.182
1.936
2.076
14-77
0.094
1.005
.104
12.19
4284.838
0.180
1.916
2.056
14.63
0.180
I-9IS
2-055
14.62
0.093
0-995
•094
I 2. 08
4287.566
0.179
1.906
2.046
14.56
0.180
1.914
2-054
14.62
0.094
1.005
.104
12.19
4288.310
0.181
I-925
2.065
14.69
0.180
I-9I3
2-053
14.61
0.092
0.984
•083
11.96
4289.525
0.179
1.904
2.044
14-55
0.182
1-933
2.073
14-75
0.093
0.994
•093
I2.O7
4290.377
0.180
I-9I3
2-053
14.61
0.181
1.922
2.062
14.67
0.093
0.994
•093
12.07
4290.542
0.180
1.912
2.052
14.60
0.182
1.932
2.072
14-74
0.094
1.004
1.103
12.18
4291.630
0.182
1.932
2.072
'4-74
0.182
1.932
2.072
14-74
0.093
0.994
1.093
12.07
0 =
65^5
0 =
6s!s
4196.699
0.052
0.580
0.648
11.09
0.050
0-556
0.624
10.68
4197-257
0.053
0.590
0.658
11.26
0.050
0.556
0.624
10.68
4203.730
0.052
0.580
0.648
11.09
0.052
0-577
0.645
11.04
4207.566
0.052
0-577
0.645
11.04
0.050
0-553
0.621
10.63
4216.136
0.052
0-575
0.643
II. OI
0.049
0.540
0.608
10.41
4220.509
0.053
0-585
0.653
ii. 18
0.052
0-574
0.642
10.99
4232.887
0.052
0-573
0.641
10.97
0.052
0-572
0.640
10.96
4233-328
0-053
0-583
0.651
11.14
0.052
0.572
0.640
10.96
4257-815
0.054
0.590
0.658
11.26
0.052
0.566
0.634
10.85
4258.477
0.053
0.580
0.648
11.09
0.051
0-555
0.623
10.66
4265.418
0.054
0.589
0.657
11.25
0.051
0-554
0.622
10.65
4266.081
0.054
0.589
0.657
11.25
0.052
0-565
0-633
10.84
4268.915
0.054
0.588
0.656
11.23
0.052
0-565
0.633
10.84
4276.836
0.054
0.587
0-655
II. 21
0.052
0.564
0.632
10.82
4283.169
0.052
0.566
0.634
10.85
0.052
0.562
0.630
10.78
4284.838
0.054
0.586
0.654
1 1. 2O
0.052
0.562
0.630
10.78
4287.566
0.054
0.585
0-653
II.I8
0.050
0-544
0.6 1 2
10.48
4288.310
0-055
0.596
0.664
"•37
0.052
0.562
0.630
10.78
4289.525
0.053
0-575
0.643
II.OI
0.052
0.561
0.629
10.77
4290.377
0.054
0-585
0-653
ii. 18
0.051
o.SSO
0.618
10.58
4290.542
0.052
0-565
0.633
10.84
0.052
0.561
0.629
10.77
4291.630
0.053
0-575
0.643
II.OI
0.051
0-550
0.618
10.58
MEAN RESULTS FOR EACH PLATE FROM ALL LINES. OBSERVATIONS OF 1908.
99
The results for the individual plates are summarized in Tables 12, 13, and 14, which are identical in
form with Tables 5, 6, and 7 for the 1906-1907 observations.
TABLE 12. — MEAN RESULTS FOR EACH PLATE FROM ALL LINES. OBSERVATIONS OF 1908.
PLATE
No.
DATE.
No. OF
LINES.
0
i + »j
f
PLATE
No.
DATE.
No. OF
LINES.
0
» + »,
£
1908
0
km
o
1908
o
km
0
<a 103
Feb. 16
22
— 0.2
2.071
14.71
w n7l
May 26
22
-0.6
2.056
14.60
I4.I
1.948
14.26
14.4
1.895
13.89
29.9
I.63S
13-39
29.4
1.664
13-56
44.8
1.289
12.89
44-6
1.301
12.98
59-5
0.774
10.83
60.4
0-837
12.03
73-7
°-439
II. II
75-9
0-372
10.84
w 105,
Mar. 10
22
-o-3
2.057
14.60
<" "72
May 26
22
-0.6
2.058
14.61
14.6
1.989
14-59
14.4
1.898
13-91
29.4
1.634
I3-3I
29-4
1.664
13-57
44.2
1.346
13-33
44-6
1.298
12-95
59-3
0.847
11.77
60.4
0.845
12.15
74-3
0.419
11.00
75-9
0.385
11.22
a 105,
Mar. 10
22
-0-3
2.081
14-77
W I20J
June 2
22
2-3
2.053
I4-58
14.6
1.971
14-47
12.7
1-959
14.25
29.4
1.662
13-54
17-3
1.862
13.86
44-2
1-342
13.29
32-8
1.645
13.89
59-3
0.840
11.68
48-3
I-I75
12-54
74-3
0.401
10.51
63-8
0.640
IO.29
77-3
0-335
10.82
u 105.,
Mar. 10
22
-0.4
2.072
14.72
<0 I202
June 2
22
4-3
2.042
14-54
-0.4
2.070
14.71
10.7
2.009
I4.5I
15-2
1.956
14-39
19-3
1.840
13.86
3°- 1
1-675
13-75
34-8
1.610
13.92
50-3
i-i59
13.88
65-3
0.693
I2.O4
79-3
0.259
9.91
w i°52
Mar. 10
22
-0.4
2.080
14-77
w 128
June 9
22
-o-S
2.057
14.61
-0.4
2.073
14.72
14-5
1.917
14.06
15-2
1.966
14-45
29-5
1.687
I3.76
30.1
1.669
I3-7I
44-5
1.260
12.54
59-5
0.832
11.64
74-5
0.380
IO.I2
w 106
Mar. 10
22
45-i
1.312
13.20
a 132
June 10
22
4-4
2.032
14.47
60.4
0.792
11.38
19.4
1.897
14.28
75-1
0.416
11.49
34-4
1-593
13-73
49-4
1.169
12.75
64.4
0.715
n-75
79-4
0.262
10.12
w 106
Mar. 10
22
45-i
1.293
13.01
u 134
June ii
22
-o.S
2.043
I4-5I
60.4
0.747
10.80
4-5
2.013
14-54
7S-i
0.407
11.24
19-5
1.859
I4.OO
75-i
0.407
11.24
34-5
1-557
I3-42
60.4
0.797
11.44
49-5
1.165
12.74
45-i
1.302
13.10
64-5
0.707
11.66
30.1
1.658
13.61
79-5
0.262
10.22
15-2
1.971
I4-5I
a 113
Apr. 8
22
o.o
2.IOO
14.92
<* 135,
June ii
22
-0-5
2.064
14.66
14.9
1.969
14.46
14-5
1.940
14.22
29.8
1.679
13-75
29-5
1.676
I3-67
44.8
1.298
12.98
44-5
'•245
12-39
60.7
0.801
11.62
59-5
0.772
10.80
75-7
0.360
10.36
74-5
0.381
10.12
79-5
0.262
10.22
w 113
Apr. 8
22
o.o
2.081
14-77
<"I352
June ii
22
-0-5
2.038
14.46
14.9
1.961
14.41
14-5
1.938
14.21
29.8
1.682
I3-76
29-5
i. 68 1
I3-72
44-8
1.294
12-94
44-5
1-237
12.31
60.7
Q-793
11.52
59-5
0.772
10.79
75-7
0.363
10.45
74-5
0.384
10.21
79-5
0.260
10.12
IOO AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 12. — MEAN RESULTS FOR EACH PLATE FROM ALL LINES. OBSERVATIONS OF 1908 — Continued.
PLATE
No.
DATE.
No. OF
LINES.
</>
V + V1
{
PLATE
No.
DATE.
No. or
LINES.
<t>
» + r,
1
1908
0
km
0
1908
0
km
0
u 136
June ii
22
-o-S
2.047
14-53
u 165
Aug. 27
22
4-2
2.032
14.47
4-5
1.981
14.11
n.6
1.992
14-43
I9-S
1.847
13-91
19.1
1. 880
14.12
34-5
i-5Si
13-36
34-1
1-557
13-35
49-5
1.158
12.66
49-4
1.142
12.46
64-S
0.656
10.81
64.8
0.688
11.48
79-5
0.266
10.36
w 146
Aug. S
22
0-3
2.028
14.40
w 166
Aug. 27
22
4-2
2.049
14.58
15-2
1-934
14-23
n.6
1.984
I4.38
30.1
1.658
13.60
19.1
1.874
14.07
45-5
1.265
12. 8l
34-1
1.561
I3-38
60.7
0.682
10.97
49-4
1.150
12-55
75-4
0.405
"•35
64.8
0.691
11.52
u 147
Aug. 5
22
0-3
2.052
14-57
w 179
Sept. 30
22
60. 1
0.865
12.32
15-2
1-959
14.42
60. 1
0.867
12-35
30.1
1.686
13-85
45-5
1.269
12.86
60.7
0.781
"•34
75-4
0.401
11.30
w 148
Aug. 5
22
°-3
2.056
14.60
w 180
Sept. 30
22
60. 1
0.808
11.51
15-2
1-959
14.41
60. 1
0.810
"•S3
30-1
1.688
13-85
35-5
1.265
12.81
60.7
0.798
"•59
754
0.403
11.36
<"> 151
Aug. 6
22
-o-3
2.062
14.64
<•> 182
Oct. 9
22
II.O
1.990
14-39
-0-3
2.060
14-63
II.O
1.992
14.40
14.6
1-952
14-32
19.0
1.843
13-84
44.6
1.270
12.66
33-9
1.483
12.69
59-8
0.809
11.42
74-9
0.415
11.31
<» 161
Aug. 26
22
4-2
2.044
14-55
<•> 183
Oct. 9
22
II.O
1.991
14.40
10.9
1.989
14.38
II.O
1.997
14.44
19.1
1.886
14.18
19.0
1.864
14.00
34-2
1-547
13.27
19.0
1.858
13-95
49-4
1.080
11.78
19.0
1.859
13.96
65.0
0.631
10.60
33-9
1-549
13-25
33-9
1-55°
13.26
33-9
1.546
13-22
ta 162
Aug. 26
22
4-2
2.048
14-57
u 184
Oct. 22
22
4-°
2.059
14.65
10.9
1.986
14-36
50.0
1.115
12.31
19.1
1.878
14.11
50.0
1.128
12.46
34-2
i-5°5
12.91
60.3
0.823
11.79
49-4
1.144
12.48
60.3
0.827
11.85
65.0
0.693
11.67
65-5
0.668
11.46
65-5
0.663
"•37
o> 163
Aug. 26
22
4-2
2.040
14-52
w 185
Oct. 22
22
4.0
2.060
14.66
10.9
2.002
14.46
50.0
1.103
12.18
19.1
1.886
14.18
50.0
1.105
12.21
34.2
1.548
13.29
65-5
0.652
11.17
49-4
1.149
12.54
65-5
0.647
II.08
65.0
0.688
"•55
u 164
Aug. 26
22
4.2
2.029
14.44
w 186
Oct. 22
22
4.0
2.057
14.64
10.9
1-995
14.42
4-0
2.063
14.68
19.1
1.870
14.06
50.0
I.IOI
12.17
34-2
1.556
13-36
65.5
0.650
11.14
2O
49-4
1.152
12.56
65-5
0.628
iQ-75
20
65.0
0.700
11.76
MEAN RESULTS FOR EACH LATITUDE FROM ALL LINES. OBSERVATIONS OF 1908.
TABLE 13. — MEAN RESULTS FOR EACH LATITUDE FROM ALL LINES. OBSERVATIONS OF 1908.
IOI
PLATE
No.
<t>
» + »!
f
PLATE
No.
0
v + v1
£
PLATE
No.
0
s + r,
£
PLATE
No.
<t>
» + »!
£
u 103
i°5i
io5i
ios2
i°52
I052
i°52
"3
"3i
«7i
U?2
128
134
I35i
i352
136
146
147
148
151
IS'
O.2
°-3
°-3
0.4
0.4
0.4
0.4
0.0
0.0
0.6
0.6
°-5
0-5
o-S
o-S
o-S
°-3
°-3
°-3
°-3
o-3
km
2.071
2.057
2.081
2.072
2.070
2.080
2.073
2.100
2.081
2.056
2.058
2.057
2.043
2.064
2.038
2.047
2.028
2.O52
2.056
2.062
2.o6o
14.71
14.60
H-77
14.72
14.71
14-77
14.72
14.92
14-77
14.60
14.61
14.61
14-51
14.66
14.46
14-53
14.40
14-57
14.60
14.64
14.63
<* 103
105!
i05i
i°52
io52
106
"3
"3
"7i
"72
I20t
128
i3Si
i352
146
H7
148
151
14.1
14.6
14.6
15-2
IS-2
15-2
14.9
14.9
14.4
14.4
17-3
14-5
14-5
14-5
iS-2
15-2
iS-2
14.6
km
1.948
1.989
1.971
•956
.966
.971
.969
.961
.895
.898
.862
.917
.940
.938
•934
•959
•959
•952
14.26
J4-59
14.47
14-39
14-45
14-51
14.46
14.41
13.89
13-91
13-86
14.06
14.22
14.21
14-23
14.42
14.42
14-32
W I2O[
I2O]
132
134
136
161
162
163
164
165
166
182
183
183
183
32.8
34-8
34-4
34-5
34-5
34-2
34-2
34-2
34-2
34-1
34-1
33-9
33-9
33-9
33-9
km
•645
.610
•593
•557
•551
1-547
i-5°5
1.548
I-556
1-557
1.561
1.483
1-549
i-SSO
1.546
0
13.89
13-92
13-73
13-42
12.36
13-27
12.91
13-29
13-36
13-37
13-38
12.69
13-25
13.26
13-22
<a 103
I05i
105!
1 06
106
1 06
"3
"3
"7i
ii72
128
I35i
I352
146
147
148
151
179
1 80
i So
184
184
0
59-5
59-3
59-3
60.4
60.4
60.4
60.7
60.7
60.4
60.4
59-5
59-5
59-5
60.7
60.7
60.7
59-8
60. i
60. i
60. i
60.3
60.3
km
0.774
0.847
0.840
0.792
0-747
0.797
0.801
0-793
0-837
0.845
0.832
0.772
0.772
0-755
0.781
0.798
0.809
0.866
0.808
0.810
0.823
0.827
o
10.83
11.77
11.68
11.38
10.80
11.44
11.62
11.52
12.03
12.15
11.64
10.80
10.79
10.97
H-34
"•59
11.42
12.34
11.51
"•53
11.79
11.85
Means, 34.1 1.557 13-35
Means, 14.9 1.944 14.28
Means, 0.4 2.062 14.64
Means, 60.1 0.801 11.49
W 120!
I202
132
134
136
161
162
163
164
165
166
184
184
185
185
1 86
1 86
63-8
65-3
64-4
64-5
64-5
65.0
65.0
65.0
65-0
64.8
64.8
65-5
65-5
65-5
65-5
65-5
65-5
0.640
0.693
0-715
0.707
0.656
0.631
0.693
0.688
0.700
0.688
0.691
0.668
0.663
0.652
0.647
0.650
0.628
10.29
12.04
"•75
11.66
10.81
10.60
11.67
"•55
11.76
11.48
11.52
11.46
"•37
11.17
11.08
11.14
10.75
W I 2O,
I2Oj
132
134
136
161
162
163
164
165
1 66
184
185
1 86
1 86
2-3
4-3
4-4
4-5
4-5
4-2
4-2
4.2
4-2
4-2
4-2
4.0
4-0
4.0
4.0
2-OS3
2.042
2.032
2.013
1.981
2.044
2.048
2.040
2. 02Q
2.032
2.049
2.059
2.O6O
2.057
2.063
14-58
14-54
14-47
14-54
14.11
'4-55
14-57
14-52
14-44
14.47
14-58
14-65
14.66
14.64
14.68
W I2O2
132
134
136
161
162
163
164
165
166
182
183
183
183
19-3
19.4
19-5
19-5
19.
19.
19.
19.
19.
19.1
19.0
19.0
19.0
IO.O
.840
.897
-859
•847
.866
.878
.886
.870
.880
.874
•843
.864
•858
1.859
13-86
14.28
14.00
13-91
14.18
14.11
14.18
14.06
14.12
14.07
13-84
14.00
13-95
13.96
w 103
105,
io5i
1 06
106
106
"3
"3
"7t
117,
128
i3Si
i352
146
147
148
151
44-8
44-2
44.2
45-i
45-i
45-1
44.8
44.8
44-6
44-6
44-5
44-5
44-5
45-5
45-5
45-5
45-6
1.289
1.346
1-342
1.312
1-293
1.302
1.298
1.294
1.301
1.298
1.260
i -245
1-237
1.265
1.269
1.265
1.270
12.89
13-33
13.29
13.20
13.01
13.10
12.98
12.94
12.98
".95
12.54
12.39
12.31
12.81
12.86
12.81
12.66
Means, 65.0 0.671 11.30
Means, 19.2 1.867 !4-°4
w 103
ioSi
io5i
106
106
106
"3
"3
"?!
"72
128
'35i
1352
146
147
148
151
73-7
74-3
74-3
75-i
7S-i
75-1
75-7
75-7
75-9
75-9
74-5
74-5
74-5
75-4
75-4
75-4
74-9
0-439
0.419
0.401
0.416
0.407
0.407
0.360
0-363
0.372
0.385
0.380
0.381
0.384
0.405
0.401
0.403
0.415
ii. ii
II.OO
10.51
11.49
11.24
11.24
10.36
10.45
10.84
11.22
IO.I2
10.12
IO.2I
"•35
11.30
11.36
11.31
Means, 4.1 2.040 14.53
Means, 44.8 1.289 12.88
w I2Oi
I202
161
162
163
164
165
166
182
182
183
183
12.7
10.7
10.9
10.9
10.9
10.9
n.6
1 1.6
II.O
II.O
II.O
I 1.0
i -959
2.009
1.989
1.986
2.OO2
i -995
1.992
1.984
1.990
1.992
1.991
1.997
14-25
U-Si
14.38
14-36
14.46
14.42
14-43
14-38
14-39
14.40
14.40
14.44
w 103
ioSi
105,
ios2
ios2
106
"3
"3
"7i
H72
128
I35i
I352
146
147
148
29.9
29.4
29.4
30.1
30.1
30.1
29.8
29.8
29.4
29-4
29-5
29-5
29-5
30.1
30.1
30.1
1-635
1.634
1.662
I-675
1.669
1.658
1.679
1.682
1.664
1.664
1.687
1.676
1.681
1.658
1.686
1.688
13-39
13-31
13-54
13-75
13-71
13.61
13-75
13-76
13-56
'3-57
13-76
13-67
I3-72
13.60
13-85
13-85
ia i20i
I2O2
132
134
136
161
162
163
164
165
166
184
184
185
185
1 86
48-3
50-3
49-4
49-5
49-5
49-4
49-4
49.4
49-4
49-4
49.4
50.0
50.0
50.0
50.0
50.0
I-I7S
1-159
.169
.165
.158
.080
• 144
-149
•152
.142
.150
•"5
.128
.103
-105
.IOI
12.54
12.88
12.75
12.74
12.66
11.78
12.48
12.54
12.56
12.46
12.55
12.31
12.46
12.18
12.21
12.17
Means, 75.0 0.396 10.86
«) I2Ol
1202
132
134
1351
1352
136
77-3
79-3
79-4
79-5
79-5
79-5
79-5
0-335
0-259
0.262
0.262
0.262
0.260
0.266
10.82
9.91
IO.I2
IO.22
10.22
I O.I 2
10.36
Means, _ 11.2 1-990 14.40
Means, 29.8 1.669 T3-65
Means, 49.6 1.137 12.45
Means, 79.1 0.272 10.25
102 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 14. — MEAN RESULTS FOR EACH LINE FROM ALL PLATES. OBSERVATIONS OF 1908.
0 = o!4
0 = 4?i
0=^2
0 = .4!0
X
ELEMENT.
No. OF
No. OF
«
No. OF
No. OF
«
PLATES.
s + »,
£
PLATES.
!> + »,
PLATES.
+ !
PLATES.
+ »
km
0
km
o
km
o
km
°
4196.699
La
21
2.034
14.44
15
2.023
14.40
12
1.979
14-31
18
1.925
14.14
4197-257
CN
21
2.047
14-53
15
2.028
14
43
12
1.978
14-31
18
1.927
14.16
4203-730
Cr
21
2.061
14.63
IS
2-034
14.48
12
1.992
14.42
18
1-944
14.28
4207.566
CN
21
2.054
14.58
15
2.038
14
50
12
1.989
14-39
18
1-937
14-23
4216.136
CN
21
2.042
14.49
15
2.031
14.46
12
1.983
14-34
18
1.930
14.18
4220.509
Fc
21
2.059
14.62
15
2.052
14.61
12
1.998
14-45
18
1-945
14.29
4232.887
Fe
21
2.066
14.67
15
2.048
14
58
12
1.992
• 14-41
18
1.948
14.31
4233-328
Mn
21
2-055
14-59
15
2.052
14
61
12
1-995
14.43
18
1-945
14.29
4257-8I5
Mn
21
2.077
14-75
15
2.049
14
58
12
1.998
14-45
18
1-953
14.34
4258.477
Fe
21
2.068
14.68
15
2.046
14
56
12
1.998
14-45
18 1-952
14-34
4265.418
Fe
21
2.060
14.62
15
2.042
14-53
12
1-993
14.41
1 8 1.946
14.30
4266.081
Mn
21
2-073
14.72
15
2.051
14
60
12
1.997
14.44
1 8 1.946
14-30
4268.915
Fe
21
2.073
14.72
15
2-045
14
56
12
1-994
14.42
18
1-949
14.32
4276.836
-Zr
21
2.067
14.68
15
2.037
14.50
12
1.986
14.36
18
1.948
14-31
4283.169
Ca
21
2.066
14.67
15
2.039
I4-5I
12
1.991
14.40
18
1.948
14-31
4284.838
Ni
21
2.069
14.69
IS
2.040
14
52
12
1.988
14.38
18
1.936
14.22
4287.566
Ti
21
2.066
14.67
IS
2.036
14.49
12
1.988
14.38
18
1.944
14.28
4288.310
Ti, Fe
21
2.064
14.65
IS
2.036
14-49
12
1.990
14-39
18
1.949
14-32
4289.525
Ca
21
2.069
14.69
15
2.040
14.52
12
1.992
14.41
18
1.950
14-33
4290-377
Ti
21
2.059
14.62
15
2-034
14.48
12
1.986
14.36
18
1.938
14.24
4290.542
Fe
21
2.068
14.68
IS
2.040
14.52
12
1-994
14.42
18
1-953
14-35
4291.630
Fe
21
2.071
14.70
15
2.041
14-53
12
1.992
14.41
18
1-947
14-30
X
ELEMENT.
0 = I9t2
0 = 29^8
0 = 34?i
0 = 44?8
4196.699
La
14
1.859
13.98
1 6
1.652
13
52
15
1.546
13.26
I?
1.275
12-75
4197-257
CN
14
1.859
13.98
16
I.655
13
54
15
1-544
13.24
I?
1.280
12.80
4203.730
Cr
H
1.871
14.06
16
1.671
13
67
15
1.561
13.38
17
.288
12.88
4207.566
CN
14
1.875
14.10
16
1.667
13
64
15
1.560
13.37
17
-283
12.83
4216.136
CN
14
1.862
14.00
16
1.647
13-47
15
1.548
13.27
I?
.272
12.72
4220.509
Fc
14
1.874
14.09
16
1.671
13
67
15
1.561
13-38
I?
.288
12.88
4232-887
Fe
14
1.875
14.10
16
1.669
I3-65
15
1-559
13-37
17
.282
12.82
4233-328
Mn
14
1.878
14.12
16
1.662
13.60
15
1.561
13-38
I?
.287
12.87
4257-8i5
Mn
14
1.876
14.10
16
.676
13
7i
15
1-567
13-43
I?
.300
13.00
4258.477
Fe
14
1.871
14.06
16
-677
13
72
15
1.560
13-37
I?
• 294
12.94
4265.418
Fe
H
I.86I
13-99
16
.666
13-63
15
1-555
13-33
I?
.284
12.84
4266.081
Mn
14
1-873
14.08
16
.672
13.68
15
1.561
13-38
I?
.297
12.97
4268.915
Fe
14
I.
869
14.05
16
.673
13.69
15
1-559
13-37
I?
.292
12.92
4276.836
-Zr
H
I.
864
14.02
16
.673
13-69
15
1-554
13-32
17
.284
12.84
4283.169
Ca
14
I.
866
14.03
16
.672
13.68
15
1-553
13.32
I?
.287
12.87
4284.838
Ni
14
I.
860
13.98
16
.657
I3-56
IS
1-557
13-31
17
.282
12.82
4287.566
Ti
14
I.
862
14.00
16
.671
13-67
IS
1-554
13.32
i?
.292
12.92
4288.310
Ti, Fe
14
I.
865
14.02
16
-675
I3-70
15
1.560
13.37
i?
.291
12.91
4289.525
Ca
14
I.
861
13-99
16
.676
13-71
15
1-558
13-36
i?
•297
12.97
4290.37?
Ti
14
I.
858
13-97
16
.666
13
63
15
1-557
13-36
i?
.278
12.78
4290.542
Fe
14
I.
869
14.05
16
•683
13
77
IS
1-565
13-42
i?
.294
12.94
4291-630
Fe
14
I.
871
14.06
16
.680
13
74
IS
1.562
13-39
i?
• 294
12.94
0 = 49^6
0 = 6O° I
0 = 65^0
0 = 75!o
0 = 79^1
X
ELEMENT.
"Jo.OF
>
No. OF
V
No. OF
No. OF
No. OF ,
£
1
'LATES.
+ '
£
PLATES
»+*,
?
PLATES.
» + »,
*
PLATES.
» + »,
£
?
km
o
km
0
km
0
km '
0
km
°
4196.699
La
16
•125
12.32
22
0.791
11.26
17
0.658
11.05
17
0.380
10.42
7 0.267
IO.O2
4197-257
CN
16
.125
12.32
22
0.791
11.26
17
0.663
11.14
17
0.385
10.56
7 0.269
IO.IO
4203-730
Cr
16
.138
12.46
22
0.805
11.46
17
0.670
11.26
i?
0.392
10.75
7 0.269
IO.IO
4207.566
CN
16
.138
12.46
22
0.804
"•45
17
0.666
11.19
17
0.388
10.65
7 0.270
10.14
4216.136
CN
16
.130
12.38
22
0.796
"•34
!7
0.659
11.07
0.386
10.59
7 0.261
9.80
4220.509
Fe
16
.144
12.53
22
0.805
11.46
17
0.671
11.27
i?
0.400
10.97
7 0.267
IO.O2
4232-887
Fe
16
-138
12.46
22
0.801
11.41
0.671
11.27
17
0-397
10.89
7 0.266
9-99
4233-328
Mn
16
•139
12.48
22
0.805
11.46
17
0.671
11.27
17
0.386
10.59
7 0.269
IO.IO
4257.815
Mn
15
• .142
12.51
22
0.8 1 6
11.62
16
0.675
"•34
17
0.406
11.14
7 0.281
^0.55
4258.477
Fe
15
.138
12.46
22
0.807
11.49
16
0.672
11.29
17
0-399
10.94
7 0.267
10.02
4265.418
Fe
16
•134
12.42
22
0.807
11.49
i?
0.672
11.29
17
0-397
10.89
7 0.277
10.40
4266.081
Mn
16
.141
12.50
22
0.805
11.46
17
0.676
11.36
17
0.402
11.03
7 0.282
10.59
4268.915
Fe
16
•139
12.48
22
0.811
"•55
17
0.482
11.46
17
0.404
11.08
7 0.277
10.40
4276.836
-Zr
16
.136
12.44
22
0.812
11.56
17
0.674
11.32
17
0.402
11.03
7 0.276
10.36
4283.169
Ca
16
•139
12.48
22
0.811
"•55
i?
0.672
11.29
17
0.398
10.91
7 0.274
10.29
4284.838
Ni
16
•137
12.45
22
0.807
11.49
i?
0.673
11.31
0.406
11.14
7 0.270
10.14
4287-566
Ti
16
-134
12.42
22
0.810
"•54
17
0.670
11.26
i?
0.400
10.97
7 0.274
10.29
4288.310
Ti, Fe
16
.140
12.49
22
0.810
"•54
17
0.674
11.32
17
0-399
10.94
7 0.281
10.55
4289.525
Ca
16
.144
12.53
22
0.808
11.51
0.679
11.41
17
0-399
10.94
7 0.279
10.47
4290.377
Ti
16
•132
12.40
22
0.800
"•39
17
0.669
11.24
17
0.392
10.75
7 0.270
10.14
4290.542
Fe
16
.141
12.50
22
0.812
11.56
17
0.677
"•37
17
0.402
11.03
7 0.270
10.14
4291.630 Fc
16
.144
12.53
22
0.813
".58
17
0.676
11.36
17
0.400
10.97
7 0.278
10.44
ADAMS
PLATE 2
OBSERVATIONS ON HYDROGEN. 103
9. SPECIAL OBSERVATIONS ON THE a LINE OF HYDROGEN.
As will be seen when we reach the discussion of the results for the individual lines of the reversing layer
on page lOQof this investigation, the observations of 1906-1907 and of 1908 agree in indicating that different
lines give different velocities of rotation. Since this result clearly is connected with the level at which the
lines originate in the sun's atmosphere, an investigation of the lines of the elements which show great dif-
ferences of level becomes of much interest. The two elements which appear to rise to the greatest height
above the solar photosphere, as indicated by observations of the chromospheric spectrum, are calcium and
hydrogen. Unfortunately, accurate measures of the H and K lines of calcium at the sun's limb are very
difficult, on account of the great variation in their width and appearance and the presence of bright
reversals. Exclusive of these lines, the blue line of calcium at A. 4227, which represents a considerably lower
level than H and K, remains. Among the hydrogen lines, H8 and Hf3 are practically ruled out on account
of the presence of foreign lines, and Hy is rendered unsymmetrical by the same cause. Accordingly, in the
selection of lines for measurement only Ha was left. The investigation of this line became of interest for
several other reasons. Photographs of the spectra of the center and limb of the sun indicated that Ha
was greatly widened at the limb, while the other hydrogen lines, with the possible exception of H@, were
either unchanged or slightly narrowed. The line also showed no such displacement toward the red at the
sun's limb as was found for essentially all of the lines in the solar spectrum. Moreover, plates taken with
the spectroheliograph with the a line showed structure differing in many respects from that obtained
through the other hydrogen lines. All of these results are in harmony with the chromospheric observations
in indicating a very high level for the hydrogen gas which produces Ha in the sun's atmosphere.
The measurement of the center and limb plates soon showed that the Ha line would give abnormally
high rotational velocities, and the first photographs taken with the regular rotation apparatus confirmed
this result. A few preliminary results of this investigation were published early in 1908 (15), but a much
more extensive series of plates was obtained during the spring of that year. The use of fine-grained plates
sensitized to the red by the use of Wallace's formula proved of the greatest value in the investigation, since
the edges of the line are so hazy as to make the superior defining power of these plates, and their excellent
contrast, of much assistance in the measurement. All of the results given were obtained from plates of this
character.
It is of course hardly necessary to state that the degree of accuracy attained in the measurement of
Ha is of quite another order from that for the narrow lines of the reversing layer. The width of Ha at the
sun's limb is about 1.15 Angstroms, as against 0.15 Angstrom for the lines employed in the reversing layer.
Moreover, all of the plates used for measurement were taken in the spectrum of the second order, thus giv-
ing a linear scale only two-thirds that used for the reversing layer. It seems probable that the accidental
errors of setting must be several times as great for Ha as for the sharper and narrower lines.
I have already referred to the marked widening and change in appearance of Ha at the sun's limb.
The study of plates taken inside the limb soon showed that the greater part of this effect must take place
within a comparatively narrow range, some 3 or 4 mm, on a solar radius of about 84 mm. This is what we
should expect in case the change in the appearance of Ha is due to the great increase in the length in path
of the light at the sun's edge, since the length of this path decreases very rapidly with increasing distance
inward from the limb. Accordingly, two series of observations have been made, the first as close to the
limb as the slit could be set without danger from the introduction of chromospheric light, and the second at
an average distance of about 3 mm inside the limb. The details of these observations and the summaries
of the results are given in Tables 15-18. The tables are similar in arrangement to those containing the
data for the reversing layer. A comparison with the values for the normal places derived from the two
series of observations on the reversing layer is given in Table 35.
104 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 15. — OBSERVATIONS ON THE a LINE OF HYDROGEN AT THE LIMB.
PLATE
No.
GR. MEAN DATE.
0
A
1!
v + vl
8
PLATE
No.
GR. MEAN DATE.
<P
A
1!
» + »,
i
1908 h m
0
km
km
0
1908 h m
0
km
km
0
w no
Mar. 24 6 20
O.2
o.i 88
1.98
2.12
15.0
U I262
June 9 10 15
-0.5
0.196
2.03
2.16
15-3
I5-I
0.180
1.91
2.05
15-1
14-5
0.182
1.88
2.OI
14.7
29.9
0.154
1.63
i-75
14-3
29-5
o.i 66
1.70
1.82
14.8
44-3
0.127
1-34
i-45
14.4
44-5
0.128
1.32
i-43
14.2
60.4
0.083
0.89
0.96
13.8
59-5
0.087
0.89
0-97
13-6
6S-3
0.069
0.76
0.82
13-9
75-o
0.046
0.48
0-53
14-5
75-2
0.042
0.50
o.54
15.0
<•> "5
May 15 5 10
-0.4
0.192
2.01
2-15
iS-3
W I27i
June 9 10 15
-0-5
0.195
2. 02
2-15
iS-3
14.6
0.184
1.89
2. 02
14.8
I4-S
0.184
1.90
2.03
14.9
29.6
o-iS3
i-59
I.7I
14.0
29-5
0.161
1.6?
1-79
14.6
44-9
0.122
1.28
i-39
13-9
44-S
0.122
1.27
1.38
13-7
6o.S
0.082
0.86
0.94
13-6
59-5
0.083
0.86
0.94
13-1
75-9
O.O42
0.44
0.48
14.0
75-o
0.045
0.47
0.52
14-3
w ii8[
June i 10 30
-0.6
0.194
2.02
2.15
iS-3
w 127-2
June 9 10 15
-0-5
0.197
2.04
2.17
iS-4
14.4
0.184
1.92
2.05
15.0
I4-S
0.182
1.89
2. 02
14.8
29.4
0.158
1.64
1.76
14-3
29-S
0.164
1.71
1.83
14.9
44-9
0.135
I.4I
i-Si
iS-i
44-S
0.125
1.30
I.4I
14.0
60.4
0.084
0.88
o-95
13-6
59-5
0.087
0.90
0.98
13-7
75-9
0.042
0-45
0-49
14-3
75-o
0.044
0.46
0.51
14.0
w ii82
June i 10 30
-0.6
0.196
2.04
2.17
15-4
w 129
June 10 2 40
-0.5
0.195
2.OI
2.14
15-2
14.4
0.184
1.92
2.05
'S-o
14-5
0.185
1.90
2.03
14.9
29.4
°-I55
1.61
i-73
14.1
29-5
o.i 66
1.70
1.82
14.8
44-9
0.128
i-33
i-43
14-3
44-5
0.126
1.30
I.4I
14.0
60.4
0.086
0.89
0.96
13-8
S9-5
0.085
0.88
0.96
13-4
75-9
0.046
0.48
0.52
15-2
74-5
0.045
0.46
0.51
I3-S
«J 122
June 9 2 45
-o.S
0.192
2.00
2.13
iS-i
<* I3°l
June 10 2 40
-0-5
0.196
2.02
2-IS
iS-3
14-5
0.178
1.86
1.99
14.6
14-5
0.184
1.90
2.03
14.9
29-5
O.I 60
1.67
i-79
14.6
29-5
0.162
1.68
1. 80
14.7
44-5
O.I 2O
1.24
i-35
13-4
44-S
0.125
1.29
1.40
13-9
59-5
0.082
0.85
0-93
13-0
59-S
0.088
0.92
1. 00
14.0
7S-°
0.042
0.44
0.49
13-4
74-5
0.046
0-47
0.52
13.8
<•> 123
June 9 2 45
-0.5
0.196
2.03
2.16
iS-3
w I302
June 10 2 40
-0.5
0.196
2.02
2.15
15-3
14-5
0.182
1.89
2.02
14.8
I4-S
0.184
1.90
2.03
14.9
29-5
0.159
1.65
i-77
14.4
29-S
0.161
1.66
1.78
I4-S
44-5
0.126
i-3i
1.42
14.1
44-S
0.125
1.29
1.40
13-9
59-5
0.084
0.88
0.96
13-4
59-5
0.083
0.86
o-94
13-1
75-°
0.041
0-43
0.48
13.2
74-5
0.048
0-49
o-54
H-3
W 124!
June 9 2 45
-0.5
0.192
1.96
2.09
14.8
w 1311
June 10 2 40
-0-5
0.194
2.OO
2.13
iS-i
I4-S
0.185
1.90
2.03
14.9
I4-S
0.185
1.89
2. 02
14.8
29-S
0.161
1.65
1.77
14.4
29-5
0.163
1.67
1.79
14.6
44-5
0.126
1.29
i-3i
13-0
44-5
0.125
1.30
I.4I
14.0
59-5
0.087
0.91
o-99
13-8
59-5
0.087
0.89
0.97
13-6
7S-o
0.046
0-47
0.52
14-3
74-5
0.045
0.46
O.SI
13-5
<a i242
June 9 2 45
-o.S
0.196
2.01
2.14
15-2
<" 1312
June 10 2 40
-o-S
0.193
1.99
2.12
iS-i
I4-S
0.187
I-9I
2.04
15.0
14-5
0.178
1.85
1.98
14-5
29-S
O.I 60
I.6S
1.77
14.4
29-5
0.158
1.62
1.74
14.2
44-5
0.125
1.28
i-39
13-8
44-5
O.I 2O
1-25
1-36
I3-S
59-5
0.086
0.89
o-97
13.6
59-5
0.080
0.82
0.90
12.6
75-°
0.046
0.47
0.52
14-3
74-S
0.044
o-4S
0.50
13-3
<o 125,
June g 7 10
-o-5
0.196
2.O2
2-15
iS-3
w 141
Aug. 543°
-0-3
0.193
2.OI
2.14
15-2
14-5
0.184
1.90
2.03
14.9
14-6
0.183
I.9I
2.O4
iS-o
29-S
0.163
1.69
1.81
14.8
29-S
o.i 60
1.67
1.79
14.6
44-5
0.126
1.30
1.41
14.0
44-7
0.124
I-3I
I.4I
14.1
59-S
0.084
0.86
0.92
12.9
59-9
0.086
O.gi
0.98
13-9
7S-o
0.044
o.4S
0.50
13-7
74-9
0.046
0.52
0.56
15-3
U I2S2
June g 7 10
-0.5
0.194
2.01
2.14
15-2
w 144
Aug. 5 4 30
-o-3
0.192
2.OI
2.14
15-2
I4-S
0.183
1.89
2.02
14.8
14.6
0.183
I-9I
2.04
15.0
29-S
0.162
1.67
1.79
14.6
29-S
o.i 60
1.67
i-79
14.6
44-5
0.128
i-33
1-44
14-3
44-7
0.127
i-34
1-44
14.4
59-S
0.084
0.87
0.96
13-4
59-9
0.088
0-93
I.OO
14-3
7S-o
0.042
°-43
0.48
13.2
74-9
0.047
o-S3
0-57
iS-S
W I26j
June 9 10 15
-o-S
0.195
2.01
2.14
iS-«
<o 171
Aug. 27 n 30
o-3
0.191
1.98
2.12
iS-i
14-5
0.184
1.90
2.03
14.9
15-2
0.183
1.90
2.03
14.9
29-5
0.163
1.68
1. 80
14.7
30.0
0.157
1.63
i-75
14-3
44-S
0.126
1.30
I-4I
14.0
45-o
0.126
1.32
1.42
14.2
S9-S
0.084
0.86
0.94
13-1
60.2
0.084
0.91
0.98
14.0
75-°
0.044
o-45
0.50
i3-7
75-o
0.048
0-57
0.60
16.4
OBSERVATIONS ON THE a LINE OF HYDROGEN AT THE LIMB.
TABLE 16. — OBSERVATIONS ON THE a LINE OF HYDROGEN AT THE LIMB. RESULTS FOR EACH LATITUDE.
0
V -\- V
E
0
. + ,
(.
0
, + ,,
i.
0.2
km
2.12
15.0
IS-I
km
2.05
15.1
29.9
km
•75
14-3
0.4
2.12
15-3
14.6
2.O2
14.8
29.6
14.0
0.6
2-15
'5-3
14.4
2.0S
15.0
29.4
'?6
14-3
o.6
2.17
15-4
14.4
2.0S
15.0
29.4
•73
14.1
o-S
2.16
15-3
14-5
2.O2
14.8
29-5
•77
14.4
o-5
2.13
I4-S
1-99
14.6
29-S
•79
14.6
2.09
14.8
I4-S
2-03
14.9
29-5
•77
14.4
0.5
2.14
15.2
14-5
2.O4
15.0
29-5
•77
14.4
0.5
2.15
iS-3
14-5
2.03
14.9
29-5
.81
14.8
2.14
15-2
14-5
2.O2
14.8
29-5
•79
14.6
o-S
2.14
15.2
14-5
2.03
14.9
29-S
.80
14-7
o-S
2.16
iS-3
, J4-5
2.OI
14.7
29-5
.82
14.8
o-S
2-15
'5-3
14-5
2.03
14.9
29-5
•79
14.6
o-S
2.17
iS-4
14-5
2.02
14.8
29-5
•83
14.9
0-5
2.14
15-2
14-5
2.03
14.9
29-S
.82
14.8
o-5
2.15
15-3
14-5
2.03
14.9
29-5
.80
14.7
o-S
2.15
15-3
14-5
2.03
14.9
29-5
.78
14-5
o-5
2.13
IS-'
I4-S
2. 02
14.8
29-S
•79
14.6
o-S
2.12
15.1
14-5
1.98
14.5
29-5
•74
14.2
0-3
2.14
15.2
14.6
2.04
15.0
29-S
•79
14.6
0-3
2.14
15-2
14.6
2.O4
15.0
29-5
.76
14.6
o-3
2.12
iS-i
15.2
2.03
14.9
30.0
•75
14-3
Means, 0.46
2.145
15.21
14.56
2.027
14.89
29-54
1-783
14-51
0
. + .,
*
0
. + .,
£
0
, + .,
i
44-3
km
•45
14.4
60.4
km
0.96
13-8
75-2
km
0-54
15.0
44-9
•39
13-9
65-3
0.82
13-9
75-9
0.48
14.0
44-9
•51
iS-i
60.5
0-94
13.6
75-9
0-49
14-3
44-9
•43
14-3
60.4
0-95
13.6
75-9
0.52
15-2
44-5
•42
14.1
60.4
0.96
13.8
75-°
0.48
13.2
44-S
•35
13-4
59-5
0.96
13-4
7S-o
0.49
13-4
44-S
•31
13.0
59-5
0-93
13-0
75-o
0.52
14-3
44-5
•39
13-8
59-5
0.99
13.8
75-o
0.52
14-3
44-5
.41
14.0
S9-S
0.97
13-6
7S-o
0.50
13-7
44-S
•44
14-3
59-5
0.92
12.9
75-o
0.48
13.2
44-S
•41
14.0
59-S
0.96
i3-4
7S-o
0.50
13-7
44-S
•43
14.1
59-5
0-94
13-'
7S-o
0-53
14-5
44-S
•38
13-7
59-5
0.97
13.6
7S-o
0.52
14-3
44-S
•41
14.0
59-S
0.94
13.1
75-o
0.51
14.0
44-S
•41
14.0
S9-S
0.98
13-7
74-5
0-51
13-5
44-S
.40
13-9
59-5
0.96
i3-4
74-5
0.52
13-8
44-S
.40
13-9
59-5
I.OO
14.0
74-S
0-54
14-3
44-S
•41
14.0
59-5
0.94
13-1
74-5
o-S i
13-5
44-5
-36
'3-5
59-S
o.97
13-6
74-S
0.50
13-3
44-7
.41
14.1
59-5
0.90
12.6
74-9
0.56
15-3
44-7
1-44
14.4
59-9
0.98
13.9
74-9
0-57
15-5
4S-o
1.42
14.2
59-9
I.OO
14.3
7S-o
0.60
16.4
60.2
0.98
14.0
Means, 44.59
1.408
14.00
59-89
0.953
13.53
7S-oo
0.517
14.20
106 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 17. — OBSERVATIONS ON THE a LINE OF HYDROGEN WITHIN THE LIMB.
PLATE
No.
GR. MEAN DATE.
0
A
11
f + »j
£
PLATE
No.
GR. MEAN DATK.
0
A
V
v + vl
J
1908 h m
0
km
km
°
1808 h m
0
km
km
0
w 116
May 15 6 30
O.I
0.188
2.03
2.17
15.4
<•> 138
Aug. 4 12 30
0.4
0.182
1-95
2.08
14.8
14.9
0.176
1.90
2.03
14.9
14.3
0.174
1.87
2.00
14.7
29.9
0.151
1.63
i-75
14-3
30.2
0.150
1.61
1.72
14.1
45-i
O.I 2O
1.30
1.41
14.2
45-4
0.116
1.26
1.36
13.8
60.8
0.078
0.84
0.92
13-4
60.6
0.070
0.80
0.8?
12.6
76.2
0.038
0.42
0.47
14.0
75-7
0.038 0.41
0-45
12.9
W I IQ!
June i o 40
-0.6
0.184
1-99
2.12
iS-i
w 142
Aug. 5 4 30
-o-3
0.187
2.OO 2.13
15.1
14.4
o.i7S
1.89
2. 02
14.8
14.6
0.177
1.90 | 2.03
14.9
29.4
0.148
1. 60
1.72
14.0
29-S
0.151
1-63 i-75
14.3
44-9
0.119
1.28
I.38
13.8
44-7
O.I2I
1.30
I.4O
14.0
60.4
0.076
0.82
0.89
12.8
59-9
0.080
0.87
0-94
13.3
75-9
0.037
0.40
0.44
12.8
74-9
0.038
0.44
0.48
13.1
W IIQ2
June i o 40
-0.6
0.184
1.99
2.12
15-1
w 143
Aug. 543°
-0-3
0.186
1.99
2.12
15-0
14-4
0.172
1.86
1.99
14.6
14.6
0.174
1.86
1.99
14.6
29.4
0.148
i. 60
1.72
14.0
29-S
0.148
1-59
1.72
14.0
44.9
0.119
1.28
I.38
13.8
44-7
O.IlS
1.23
i-33
13-3
60.4
0.074
0.80
0.87
12-5
59-9
O.oSo
0.86
0-93
13.2
75-9
0.036
0-39
0-43
12.5
74-9
0.040
0.47
0-51
13-9
w 137
Aug. 4 12 30
0.4
0.184
1.97
2.IO
14.9
(Jl 172
Aug. 27 ii 30
0-3
0.179
1-93
2.06
14.6
14-3
0.174
1.86
1.99
14.6
iS-2
0-173
1.85
1.98
14.6
30.2
0.145
1.61
1.72
14.1
30.0
0.146
i-59
1.71
14.0
45-4
O.I 2O
1.29
i-39
14.0
45-°
0.116
1.27
i-37
13-8
60.6 0.073
0.80
0.87
12.6
60.2
0.077
0.86
o-93
13-3
75-7
0.038
0.41
0-45
12.9
7S-o
0.040
0.49
0.52
14-3
TABLE 18. — OBSERVATIONS ON THE o LINE OF HYDROGEN WITHIN THE LIMB. RESULTS FOR EACH LATITUDE.
0
, + ,,
«
0
» + »,
£
0
V + tl,
£
°
km
°
»
km
•
°
km
»
O.I
2.17
iS-4
14.9
2.03
14.9
29-9
i-75
14-3
0.6
2.12
i5-i
14.4
2.O2
14.8
29.4
1.72
14.0
0.6
2.12
15-1
14.4
1.99
14.6
29.4
1.72
14.0
0.4
2.10
14.9
14-3
1.99
14.6
30.2
1.72
14.1
0.4
2.08
14.8
14-3
2.OO
14-7
30.2
1.72
14.1
0.3
2.13
iS-i
14.6
2.03
14.9
29-5
'•75
14-3
0-3
2.12
iS-o
14.6
1.99
14.6
29-5
1.72
14.0
°-3
2 06
14.6
15-2
1.98
14.6
30.0
1.71
14.0
Means, 0.4
2. 112
15.00
14.6
2.OO4
14.71
29.8
1.726
14.10
0
V + t]
£
0
. + *,
£
0
, + ,,
£
9
45-i
km
1.41
14.2
60.8
km
0.92
13-4
76.2
km
0.47
14.0
44-9
1.38
13-8
60.4
0.89
12.8
75-9
0.44
12.8
44-9
1.38
13-8
60.4
0.87
12.5
75-9
0-43
12.5
45-4
1-39
14.0
60.6
0.87
12.6
75-7
0.45
12.9
45-4
1.36
13-8
60.6
0.87
12.6
7S-7
0-45
12.9
44-9
1.40
14.0
S9-9
0.94
13-3
74-9
0.48
13-1
44-7
i-33
13-3
59-9
0-93
13.2
74-9
0.51
13-9
45-o
i-37
13-8
60.2
0-93
13-3
75-o
0.52
14-3
Means, 45.0
1-378
13.84
60.4
0.902
12.96
75-5
0.469
13-30
OBSERVATIONS ON CALCIUM.
107
10. SPECIAL OBSERVATIONS ON X 4227 OF CALCIUM.
The line X 4227 of calcium appears upon all of the plates taken for the investigation of the rotation of
the sun with the lines of the reversing layer. The quality of these negatives, however, is not well adapted
for the study of this line, which is very diffuse and has broad wings extending on either side. Accordingly,
I have taken a separate series of plates in which the density is made sufficiently great to reduce these wings
considerably and thus define the central portion of the line to somewhat better advantage. In spite of
this fact its measurement is difficult, and it is doubtful whether the degree of accuracy attained is any
higher than in the case of Ha.
In Tables 19 and 20 are found the details of the observations and a summary of the results. The values
for the normal places are collected and compared with those for the reversing layer in Table 36.
TABLE 19. — OBSERVATIONS ON \ 4227 or CALCIUM.
PLATE
No.
GR. MEAN DATE.
0
A
11
D + Uj
£
PLATE
-No.
GR. MEAN DATE.
0
A
i}
ZJ + tlj
1
igo8 h m
0
km
km
•
1908 h m
o
km
km
°
a 149
Aug. 5 ii 40
0.4
0.182
1-97
2.10
14.9
i» 167
Aug. 27 7 o
0.6
0.184
2.01
2.15
15.3
IS-S
0.172
1.87
2.OO
14.7
15.0
0.176
1.92
2.05
15.1
30.2
0.150
1.63
J-75
14.4
29.8
0.152
1.67
1.79
14.6
45-6
O.I 1 1
1. 21
i-3i
13-3
44-8
0.119
1.30
1.40
14.0
60.8
0.070
0.77
0.84
12.2
60.0
0.074
0.85
0.92
13.1
75-5
0.036
0.44
0.48
13.6
74.8
0.038
0.42
0.46
12.5
u 150
Aug. s ii 40
0.4
0.180
i-95
2.08
14.8
u 168
Aug. 27 7 o
0.6
0.182
1.98
2.12
15.0
15-3
0.172
1.86
1.99
14.6
15.0
0.176
1.91
2.04
15.0
30.2
0.147
i. 60
1.72
I4.I
29.8
0.150
1.64
I.76
14.4
45-6
O.I 1 1
1. 21
i-3i
13-3
44.8
0.119
1.30
1.40
14.0
60.8
0.068
0-75
0.82
II.9
60.0
0.077
0.85
0.92
13.1
75-5
0-035
O.42
0.46
13-0
74-8
0.044
0-54
0.58
15.7
01 152
Aug. 6 5 40
0-3
0.185
2.01
2.14
15.2
u 169
Aug. 27 70
0.6
0.184
2.01
2-15
15.3
iS-2
0.171
1.85
1.98
14.6
15-0
0.176
1.92
2.03
14.9
3o.i
0.148
1.62
1-74
14-3
29.8
0.152
1.62
1.74
14.2
45-2
O.II2
1.22
1.32
'3-3
44-8
0.118
1.29
i-39
13.9
60.4
O.O72
0.79
0.86
12.4
60.0
0.074
0.82
0.89
12.6
75-4
0.034
0.41
0-45
12.7
74-8
0.043
o-S3
o.S7
15.4
w 153 , Aug. 6 5 40
°-3
0.183
i-99 ,
2.12
IS-I
w 170
Aug. 27 70
0.6
o.i 86
2. 02
2.16
15.3
15.2
O.I7I
1.86
1.99
14.6
15-0
0.176
1.92
2.05
15.1
30.1
0.148
1.64
1.76
144
29.8
0.149
1.63
1-75
14-3
45-2
O.II2
1.22
1.32
13-3
44-8
0.120
1.32
1.42
14.2
60.4
0.070
0.77
0.84
12. 1
60.0
O.o8o
0.89
0.96
13.6
75-4
0.033
o-39
0-43
12. 1
74.8
O.O42
0.51
0-55
14.9
w 154 Aug. 6 5 40
°-3
O.lSo
1.97
2.10
14.9
« 188
Oct. 22 10 30
— O.I
0.184
1.99
2-13
15.1
15-2
0.174
1.89
2.O2
14.9
14.8
O.I72
1.86
2.00
14.7
30.1
0.148
1.64
1.76
14.4
29.8
0.153
1.66
1.79
14.6
45-2
O.II4
1.23
i-33
13-4
44.9
O.II5
1-25
1.36
13.6
60.4
0.067
0.74
0.81
II.6
60.2
0.075
0.79
0.87
12.4
75-4
0.032
0.38
0.42
n.8
75-9
0.039
0-45
0-49
14.3
—O.I
O.lSl
1.96
2.IO
14.9
<" iS7
Aug. 13 s 10
-o-3
0.184
1.99
2-13
15-1
w 189
Oct. 22 IO 30
14.8
0.175
1.88
2.02
14.8
14.6
0.176
1.91
2.04
15.0
29.8
0.154
1.67
1. 80
14.7
2Q-S
0.147
i-59
1.71
13-9
44-9
0.118
1.28
1-39
13.9
44.1
0.116
1.26
1.36
13-4
60.2
0.079
0.85
0-93
13-3
S8-4
0.073
0.81
0.89
I2.O
75-9
0.037
0.44
0.48
14.0
72.0
0.037
0.42
0.47
10.8
w 158
Aug. 13 5 10
-o-3
0.182
1.97
2. II
15.0
14.6
0.176
1.91
2.04
15-0
29-5
0.146
1.58
1.70
13-9
44.1
0.114
1-23
i-33
13-1
58-4
0.074
0.8 1
0.89
I2.O
72.0
0.041
0.48
o-53
12.2
I08 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 20. — OBSERVATIONS ON x 4227 OF CALCIUM. RESULTS FOR EACH LATITUDE.
0
JJ + Uj
£
0
tl + Bj
{
0
» + »,
£
•
km
.
«
km
0
0
kra
„
0.4
2.10
14-9
15-3
2.OO
14.7
30.2
•75
14.4
0.4
2.08
14.8
15-3
1. 99
14.6
30.2
.72
14.1
0-3
2.14
15-2
15-2
1.98
14.6
30.1
•74
14-3
°-3
2.12
15-1
15-2
1-99
14.6
30.1
.76
14.4
°-3
2.10
14-9
15-2
2. 02
14.9
30.1
.76
14.4
°-3
2-13
15-1
14.6
2.O4
15.0
29-5
•71
13-9
°-3
2. II
15-0
14.6
2.04
15.0
29-5
.70
13-9
o.ft
2-IS
iS-3
15.0
2.0S
15-1
29.8
•79
14.6
0.6
2.12
15.0
15.0
2.04
15.0
29.8
.76
14.4
0.6
2-15
iS-3
15-0
2-03
14.9
29.8
•74
14.2
0.6
2.16
iS-3
15.0
2.05
15-1
29.8
•75
14-3
O.I
2.13
iS-i
14.8
2.OO
H-7
29.8
•79
14.6
O.I
2.IO
14.9
14.8
2.02
14.8
29.8
.80
14.7
Means, 0.38
2.122
15-07
15.00
2.OIQ
14-85
29.88
1-752
14.32
0
» + »,
J
<t>
» + r,
£
0
» + fj
J
.
km
•
0
km
0
0
km
„
45-6
I-3I
13-3
60.8
0.84
12.2
75-5
0.48
!3.6
45-6
l-3>
13-3
60.8
0.82
II.9
75-5
0.46
13.0
45-2
1.32
13-3
60.4
0.86
12.4
75-4
o-4S
12.7
45-2
•32
13-3
60.4
0.84
12. 1
75-4
o.43
12. 1
45-2
•33
13-4
60.4
0.81
n.6
75-4
0.42
n.8
44.1
•36
13-4
58.4
0.89
12.0
72.0
0.47
10.8
44.1
•33
13-1
58-4
0.89
12.0
72.0
o-53
12.2
44.8
.40
14.0
60.0
0.92
I3-I
74.8
0.46
12-5
44.8
.40
14.0
60.0
0.92
I3-I
74-8
0.58
15-7
44.8
•39
13-9
60.0
0.89
12.6
74-8
o-57
iS-4
44.8
•42
14.2
60.0
0.96
13.6
74-8
0-55
14.9
44-9
•36
13-6
60.2
0.87
12.4
75-9
o-49
14-3
44-9
•39
13-9
60.2
0-93
13-3
75-9
0.48
14.0
Means, 44.92
1-357
13-52
60.00
0.880
12.48
74.78
0.490
I3-3I
DISCUSSION OF THE RESULTS.
ii. SYSTEMATIC DEVIATIONS OF VELOCITY or ROTATION DERIVED FROM VARIOUS LINES
OF THE REVERSING LAYER.
ONE of the most important questions connected with the results of this investigation is whether the
lines of different elements give values which differ from one another in any systematic way, indicating a
longer or shorter period of rotation for the various elements in the sun's atmosphere. The behavior of
the individual lines in this regard will be shown best if we form the difference in the value of the angular
velocity of £ for each line from that of the mean of all the lines. Any systematic effect will show itself
at once by the marked preponderance of the positive or the negative sign in the residuals. The results of
such a comparison are given for the two series of observations in Tables 21 and 22. In forming these differ-
ences I have rounded off the results to one place of decimals, although the reduction tables have been
carried to two places. This has seemed desirable in order to facilitate rapid comparison of the results.
In the formation of the mean deviations for several latitudes, however, the second place has been retained.
An examination of these tables leads to several important conclusions. The most striking of these are,
on the one hand, the systematically low values given by the lanthanum line at X 4196.699, the cyanogen
lines A. 4197.257 and X 4216.136, and the enhanced line of titanium at X 4290.377 ; and, on the other hand,
the high values given by X 4257.815 and possibly one or two other lines in the list. The evidence for con-
cluding that lanthanum and cyanogen occupy a relatively low level in the sun's atmosphere has already
been referred to in connection with the discussion of the selection of the lines chosen for measurement.
In the case of lanthanum reference should be made to an additional point of evidence, namely, that its
lines, like those of other elements of very high atonu'c weight, are much weakened at the sun's limb. The
fact, accordingly, that the lines of cyanogen and lanthanum give consistently low values for the angular
velocity of rotation indicates that the sun's period of rotation increases as we approach its surface, or that
the outer layers of the solar atmosphere move more rapidly than those lying close to the photosphere.
This is in agreement with the results found for hydrogen and other substances which rise to a great height
above the solar surface, and to which extended reference will be made later.
TABLE 21. — DEVIATIONS OF ANGULAR VELOCITY FOR INDIVIDUAL LINES FROM MEAN VALUE. OBSERVATIONS OF 1906-1907.
\
ELEMENT.
O°2
?!?
I5?o
22?7
29! 8
37?8
44?6
S2?7
S9°6
6s?6
75?i
8o?4
4196.699
La
O.O
O.O
— O.I
— o.
— O.I
—0.2
— 0.2
-0-3
-0.4
0
-0-3
-0.8
-o-3
4197-257
CN
0.0
0.0
O.O
— 0.
O.O
— O.2
— O.I
-0-3
—0.2
-o-3
-0.8
-0.4
4203.730
Cr
+ 0.2
+0.1
+0.1
0.0
+0.1
O.O
0.0
0.0
+0.1
O.O
+0.2
+0.2
4209.144
Zr
+0.2
+0.1
+0.1
+0.
+0.2
+0.1
+0.2
O.O
+0.2
+0.1
+0.1
+0.1
4216.136
CN
— O.I
0.0
— O.I
— 0.
— O.2
— O.I
— O.2
-0.3
— 0.2
-0-4
-0.8
-o-3
4220.509
Fe
+0.1
+0.1
+0.1
+0.
+0.2
+0.1
+0.1
0.0
O.O
0.0
+0.2
+0.4
4232.887
Fe
+0.1
+0.1
+0.1
+0.
+0.1
0.0
0.0
O.O
+0.1
+0.1
+0.1
+0.1
4257-813
Mn
+0.1
+0.2
+0.1
+0.2
+0.2
+0.2
+0.2
+0.2
+0.2
+0.3
+0.6
+0.3
4258.477
Fe
0.0
O.O
O.O
0.0
O.O
0.0
0.0
0.0
+0.2
+0.1
+0.2
-0.4
4265.418
Fe
0.0
O.O
+0.1
O.O
0.0
0.0
0.0
O.O
+0.1
0.0
0.0
O.O
4266.081
Mn
O.O
+ 0.1
0.0
+0.1
+0.1
+0.1
+0.1
+0.2
+0.2
+0.2
+0.5
+0.4
4268.915
Fe
0.0
O.O
O.O
0.0
O.O
O.O
0.0
0.0
O.O
+0.2
+0.1
0.0
4276.826
-Zr
0.0
+0.1
0.0
O.O
0.0
0.0
0.0
0.0
0.0
+0.1
0.0
O.O
4284.838
Ni
O.O
— O.I
O.O
O.O
— o.
O.O
O.O
+0.1
0.0
0.0
O.O
0.0
4287.566
Ti
0.0
— O.I
O.O
0.0
— o.
O.O
0.0
0.0
+0.1
+0.1
+0.1
+0.1
4288.310
Ti, Fe
0.0
—O.I
— O.I
O.O
O.O
0.0
— O.I
+0.1
0.0
0.0
+0.1
O.O
4290.377
Ti
-0.2
— 0.2
— O.I
— O.I
— 0.
— O.I
—O.I
+0.1
—O.I
O.O
— O.I
-0.4
4290.542
Fe
— O.I
— O.I
—O.I
0.0
— o.
0.0
— O.I
0.0
—O.I
0.0
+0.1
— O.I
4291.630
Fe
— O.I
—O.I
— O.I
—O.I
— 0.
0.0
O.O
0.0
—O.I
+0.1
+0.4
O.O
4294.936
Zr
—O.I
— O.I
— O.I
—O.I
— 0.
O.O
O.O
+0.1
+0.1
0.0
O.O
0.0
109
110 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 22. — DEVIATIONS OF ANGULAR VELOCITY FOR INDIVIDUAL LINES FROM MEAN VALUE. OBSERVATIONS OF 1908.
X
ELEMENT.
o?4
4! I
ll°2
I4?9
JQ°2
2g°8
34? I
44?»
49?6
60! I
65?°
7S?o
79? I
4196.699
La
— 0.2
— O.I
— O.I
— O.I
— O.I
0
— O.I
o
— O.I
— O.I
o
— O.I
— O.2
— O.2
-0.4
— 0.2
4197-257
CN
— O.I
— O.I
— O.I
-O.I
— O.I
— O.I
— O.I
— O.I
-O.I
— 0.2
— 0.2
-0.3
— O.I
4203.730
Cr
o.o
o.o
o.o
o.o
o.o
o.o
o.o
o.o
o.o
0.0
0.0
— O.I
— O.I
4207.566
CN
o.o
o.o
0.0
o.o
+ 0.1
o.o
o.o
o.o
o.o
o.o
— O.I
-0.5
— O.I
4216.136
CN
— O.I
— O.I
— O.I
— O.I
o.o
-0.2
— O.I
— 0.2
— O.I
— O.I
— O.2
-0.3
-0.4
4220.509
Fe
0.0
0.0
o.o
0.0
0.0
0.0
+0.1
0.0
+0.!
o.o
0.0
+0.1
— 0.2
4232.887
Fe
o.o
o.o
o.o
o.o
+0.1
o.o
o.o
— O.I
0.0
— O.I
0.0
o.o
-0.3
4233-328
Mn
o.o
+0.1
o.o
o.o
+0.1
o.o
o.o
o.o
0.0
0.0
o.o
-o-3
-0.2
4257.815
Mn
+0.1
0.0
0.0
+ 0.1
+0.1
+0.1
+ 0.1
+0.1
+0.1
+ 0.1
+ 0.1
+0.3
+0.3
4258.477
Fe
0.0
0.0
o.o
+0.1
0.0
+ 0.1
0.0
+ 0.1
0.0
o.o
o.c
+0.1
+0.2
4265.418
Fe
o.o
o.o
o.o
o.o
o.o
o.o
o.o
o.o
0.0
0.0
0.0
0.0
+ 0.2
4266.081
Mn
+0.1
+0.1
0.0
o.o
o.o
+0.1
o.o
+0.1
o.o
o.o
+ 0.1
+ 0.2
+0.3
4268.915
Fe
+ 0.1
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
+ 0.!
+0.2
+0.2
+0.2
4276.836
-Zr
o.o
0.0
o.o
o.o
o.o
0.0
0.0
0.0
0.0
+0.1
0.0
+ 0.2
+ 0.1
4283.169
Co.
o.o
o.o
o.o
o.o
o.o
o.o
o.o
o.o
o.o
+0.1
o.o
o.o
o.o
4283.838
Ni
o.o
0.0
0.0
— O.I
— O.I
— O.I
o.o
— O.I
o.o
o.o
o.o
+0.2
— O.I
4287.566
Ti
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
— O.I
o.o
+0.1
0.0
4288.310
Ti, Fe
o.o
o.o
o.o
o.o
o.o
o.o
o.o
o.o
0.0
+ 0.1
o.o
+ 0.1
+0.3
4289.525
Ca
o.o
o.o
o.o
o.o
o.o
+0.1
o.o
+0.1
+ 0.1
o.o
+ 0.1
+ 0.1
+ 0.2
4290.377
Ti
0.0
0.0
0.0
0.0
— O.I
0.0
0.0
— O.I
0.0
— O.I
0.0
— O.I
— O.I
4290.542
Fe
0.0
0.0
0.0
+0.1
0.0
+0.1
+0.1
+0.1
0.0
+ 0.1
+0.1
+0.2
— O.I
4291.630
Fe
+0.1
o.o
o.o
o.o
o.o
+0.1
o.o
+0.1
+0.1
+0.1
+0.1
+0.1
+ 0.2
The agreement of the two series of observations as regards the amount of this effect in the lower lati-
tudes is excellent. The 1906-1907 observations give — o.io for the lanthanum line between o° and 45° of
Latitude, and the 1908 observations give — o°n. Similarly for the mean of the cyanogen lines the earlier
observations give —0.09 and the later observations — o.u. A difference of — o.io in the value of the
angular velocity at the equator would correspond to a difference in the rotation period of about 0.17 day.
The enhanced line of titanium at X 4290.377 is of especial interest. It is well known from observations
of the spectrum of the chromosphere that the enhanced lines, as a class, are relatively much more promi-
nent in the chromosphere than they are in the ordinary solar spectrum. This would apparently indicate a
higher average level in the sun's atmosphere. On the other hand, the line is considerably shifted at the
limb of the sun,* and this points to a relatively low level. The systematically low value of the angular
velocity of rotation furnishes additional evidence in the same direction. Further evidence is afforded on
this subject by the only other enhanced line in either list, that due to iron, X 4233.328. The mean value
of I in its case agrees closely with the mean derived from all the lines. Since it is a very prominent chromo-
spheric line, however, the fact that it does not give a large value for the angular rate of rotation is strong
evidence that it does not originate at any very considerable height in the sun's atmosphere. The explana-
tion of this apparent discrepancy of results is not at present clear. It seems fairly probable that the diffi-
culty will be found to be due to the interpretation of the chromospheric results, and that the relative
strength of the enhanced lines does not necessarily indicate a higher level in the solar atmosphere. One
hypothesis founded on this basis was published by Evershed in 1900 (18). Another possible explanation is
indicated by some preliminary results obtained by Mr. Gale and myself while working on the displacements
in the spectrum of a spark under pressure, but considerable additional material will be necessary to give it
adequate weight.
Of the lines which give positive residuals, that due to manganese at X 4257.815 is the most prominent
in both series of observations. This line is not a chromospheric line, at least of any considerable intensity,
nor is it much affected at the sun's limb. In sun-spots it is slightly strengthened. There is some evidence
in both sets of observations, especially in the earlier, that X 4266.081 gives similar results. It is included
* In referring to shifts at the sun's limb, the differential shift compared with the center of the sun as freed from rotational displace-
ments is always understood. For convenience we may designate it as "pressure" shift, although pressure alone is probably not suffi-
cient to account for all the effects observed.
DEVIATIONS IN HIGHER LATITUDES.
Ill
as a chromospheric line in some lists, but is of comparatively slight intensity. The three lines in the list
which are most strengthened at the sun's limb, X 4232.887, X 4258.477, and A. 4291.630, all give values close
to the mean, with a very slight tendency toward positive residuals. Reference should also be made to the
line at X 4207.566. This is assigned in Rowland's table to iron, but in the list of corrections is transferred
to carbon. Its appearance is strongly indicative of a compound origin, as it is much wider than other lines
of the same intensity in its vicinity. At the limb of the sun it shows a considerable displacement — so
much larger, in fact, than other neighboring cyanogen lines as to make its composite character almost
certain. Accordingly, the evidence afforded by this line can not be considered as contradictory to that of
the other cyanogen lines in the list.
12. INCREASE OF DEVIATIONS IN HIGHER LATITUDES.
Another possible conclusion of great importance is afforded by an inspection of these tables, but it
should be accepted with considerable caution. This is the apparent increase in the amount of the devia-
tions for such lines as show systematically large or small values of the angular velocity toward the sun's
pole. Thus the average deviation from the mean for the two cyanogen lines X 4197.257 and X 4216.136
between latitudes 60° and 80° is — o°3 as against — o?i between latitudes o° and 20°. Similarly the lan-
thanum line X 4196.699 gives — o?3 against — o?i, while the manganese line X 4257.815 gives +o?3 against
+o?i. The 1908 observations give considerably smaller values for these differences than do the earlier
results, but the effect is still well marked, the values in the higher latitudes amounting to more than twice
those near the equator. It is of course true that a very small difference in linear velocity in the higher
latitudes corresponds to a large difference in angular velocity, and so a wider range is to be expected
among the values for the individual lines. For example, at the equator a change in the linear velocity of
o.oi km corresponds to 0.07 in the angular velocity, while at 80° of latitude it corresponds to 0.41. If due
to this cause, however, we should expect the values of the differences in the higher latitudes to be both larger
and smaller than those near the equator and not to exhibit this systematic increase. In spite of this effect,
the evidence might be considered rather doubtful if it were not for the strong support afforded by the
behavior of two lines of elements which rise to a great height in the sun's atmosphere. These are the a line
of hydrogen and X 4227 of calcium. The results for these lines will be considered in detail at a later point
in this discussion, though the evidence furnished by them regarding changes of rotation rate in the higher
latitudes properly belongs here. In the brief accompanying table are given the differences for such lines
as show systematically large or small values of the angular velocity from a mean obtained from all the lines
in the reversing-layer list.
X
ELEMENT.
LATITUDE
0° - 20°
LATITUDE
60° - 80°
4196.699
La
— O.I
-0.3
4197-257 \
4216.136]
CN
— O.I
-o-3
4257-815
Mn
+ 0.1
+ 0.3
4226.904
Ca
+ 0.4
+ 1.6
6563.045
II
+ 0.6
+ 2.8
The great increase in the value of £ in the case of the last two lines is most striking, and in spite of the
relatively low degree of accuracy attained in the measurement of these lines as compared with those of the
reversing layer, such differences as these must certainly be considered as real. Accordingly, we may say
that there is a strong presumption for concluding that, in the case of lines showing relatively large or small
velocities at the equator, the values of deviations from the mean increase in the higher latitudes. It is of
interest to note that the variations in angular velocity which Halm believed he had discovered during the
different years included in his observations were greatest toward the pole.
112 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
13. MEAN RESULTS FOR THE REVERSING LAYER — VARIABILITY OF THE SOLAR ROTATION -
COMPARISON OF RESULTS WITH THOSE OF OTHER OBSERVERS.
We may now pass on to an investigation of the general results. While it appears clear from the pre-
ceding considerations that certain lines in the list give values which are systematically high or low, the
number of lines of the two kinds seems to be so nearly equal that no appreciable error from this source will
affect the mean taken from all the lines. If we form means of the results of the two series of observations
for the normal points of latitude indicated in Tables 6 and 13, we obtain the values given in Table 23.
The weights are according to the number of observations. The results are shown graphically in Fig. i ,
the dotted curve corresponding to the 1906-1907 observations and the full-line curve to the 1908 observa-
tions. In each case the agreement of the points with the curve is excellent, the largest deviation falling
at the points of lowest weight.
Km
"^
-V
V-N
,
\
\
s
x^
^V X
>» V
^V N
V
N, N
X
•v X
%
°x
v+v.
\
0" <f> I
0' 2
0*
O' 4
0*
if 6
n6 t
D' 8
3- act
FIG. i. — Curves representing the variation of radial velocity with heliographic latitude for the two series of observations 1906-1907
and 1908. The broken-line curve represents the 1906-1907 observations, the full-line curve those of 1908.
RESULTS FOR THE REVERSING LAYER.
TABLE 23. — MEAN RESULTS FOR THE REVERSING LAYER.
OBSERVATIONS OF 1906-1907.
OBSERVATIONS OF 1908.
0
WEIGHT.
tl + Hj
«
PERIOD.
0
WEIGHT.
» + »,
1
PERIOD.
0
km
0
days
0
km
0
days
O.2
21
2.074
14-73
24-44
0.4
21
2.062
14.64
24.59
7-7
IS
2.028
14.53
24.77
4.1
IS
2.040
14-53
24.78
iS-O
24
1-957
14.40
25.00
II. 2
12
.991
14.40
25.00
22.7
1.3
1.811
13-94
25.82
14.9
18
•944
14.28
25.21
29.8
24
1.676
13-71
26.26
19.2
14
.867
14.04
25.64
37-8
16
1.461
13-13
27-42
29.8
16
.669
13.65
26.37
44.6
23
1.283
1 2.80
28.12
34-i
IS
•557
J3-35
26.96
52-7
18
i. 060
12-43
28.96
44-8
17
.287
12.87
27.97
59-6
24
0.867
12.15
29.63
49.6
16
•137
12.45
28.92
65.6
20
0.604
11.96
30.10
60. i
22
0.806
11.49
31-33
75-i
33
0-435
11.98
30-OS
65.0
17
0.671
11.30
31-86
80.4
ii
0.277
11.80
30.51
75-o
17
0.396
10.86
33-15
79.1
7
0.272
10.25
35-12
The most interesting question involved in these results is whether an actual variation in the sun's rate
of rotation is indicated. To facilitate direct comparison the values from the two series of observations for
every 5° of latitude are given in Table 24. They are obtained from empirical formulas which satisfy the
observations closely. The derivation of these formulae will be indicated later in the discussion.
TABLE 24. — COMPARISON OF THE RESULTS FOR THE Two SERIES.
v + vl
1
1906-1907
1908
DIFFERENCE.
1906-1907
1908
DIFFERENCE.
0
km
2.064
km
2-053
km
+ O.OII
14.63
0
14.61
+ O.O2
5
2.052
2.041
+ 0.01 1
14.60
14-58
+ 0.02
10
2.015
2.OO6
+ 0.009
14.51
14.49
+ 0.02
15
1.956
1.947
+ 0.009
14.37
14.34
+ 0.03
20
1.877
.869
+ 0.008
14.18
14.14
+ 0.04
25
1.779
.772
+ 0.007
13-94
13.89
+ 0.05
30
1.666
.660
+ 0.006
13.68
13.60
+ 0.08
35
1-542
•534
+ 0.008
13-39
13.28
+ O.II
40
1.409
•399
+ O.OIO
13.10
12.94
+ 0.16
45
1.272
• 258
+ 0.014
12.81
I2-59
+ 0.22
So
1.132
.114
+ 0.018
12.54
12.24
+ 0.30
55
0.992
0.968
+ 0.024
12.30
11.90
+ 0.40
60
0.852
0.822
+ 0.030
12. II
11.58
+ 0-53
65
0-713
0.678
+ 0.035
11.97
11.29
+ 0.68
70
0.576
0-537
+ 0.039
II.9O
11.04
+ 0.86
75
0-437
0.400
+ 0.037
11.91
10.84
+ 1.07
An inspection of these results shows that the 1908 observations give slightly smaller values than the
earlier series between latitudes o° and 40°, and decidedly smaller values between 45° and 80°. In the lower
latitudes the largest difference is at the equator and amounts to o.oi i km for v + vv Although this is per-
haps larger than might be expected from the internal agreement of the measures, it is hardly sufficient
to warrant the conclusion that a source of systematic error is present, or that any variation in the sun's
rate of rotation is indicated.
In the higher latitudes the case is somewhat different, however. At latitude 70° a maximum difference
of 0.039 km is reached, a quantity which is decidedly larger than would be expected from errors of measure-
114 AN INVESTIGATION OP THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
ment alone, even though it has been found that such errors are usually greater in high latitudes. At pres-
ent! it does not seem possible to decide whether this lack of agreement is due to a real variation in the sun's
rate of rotation, to the presence of some source of systematic error in the observations, or to the disturbing
effect of proper motions in the sun's reversing layer. I am inclined, however, to ascribe it mainly to small
systematic errors in the earlier series of observations. The principal sources of error to which these were
subject have already been referred to, and there is little doubt that they must have affected the results to some
extent. As several of these difficulties were eliminated, or their effect much reduced, in the later series of
observations, and as the check by means of the exposure on the sun's pole was available in the later
results, it is highly probable that the greater part of the difficulty is to be looked for in the earlier series.
If such is the case, the single most serious cause of error is probably the astigmatism of the sun's image.
The influence of proper motion in the reversing layer may be very appreciable in its effect upon the
values of the solar rotation, and it is possible that this cause may be in part accountable for the discrepan-
cies between the two series of results. As will be shown in another place, proper motions amounting to as
much as 0.2 km have been found in a disturbed region in the neighborhood of spots, and of course it is
highly probable that motions of smaller amount are present frequently. The probability of their occur-
rence in high latitudes, however, would appear to be less than in the zones of chief spot activity.
There seem to be three main arguments against the conclusion that these results indicate an actual
variation in the sun's period of rotation. The first of these is that the variation, if present, seems to be
confined to the higher latitudes. It would certainly appear probable that such an effect would be marked
in the zones of greatest spot activity, between 10° and 30° of latitude, and differences in these zones were
found by Halm (9) in the series of observations from which he concluded the existence of such a variation.
On the other hand, the values given here indicate essentially no difference for the years 1906-1907 and 1908
between o° and 40° of latitude. We have seen, however, that all of the spectrum lines which show abnormal
values of the rotational velocity, such as those of cyanogen, lanthanum, calcium, and hydrogen, appear to
give the largest deviations from the normal values in the higher latitudes. Accordingly, the existence of a
variation in the sun's rate of rotation which is confined to high latitudes is perhaps less anomalous than
might at first appear.
A second argument against the occurrence of a variation in the sun's rotation period is the close agree-
ment of the results given here for 1908 with Duner's values obtained from observations extending through
six years, from 1887 to 1889 and from 1899 to 1901. A comparison of the 1906-1907 and 1908 observa-
tions with those of Duner for the six latitudes employed by him gives the results in Table 25, the values
being obtained in all cases from the corresponding empirical formulas.
TABLE 25. — COMPARISON OF THE RESULTS WITH THOSE or DUNER.
1906-1907
1908
DUNER.
0
, + ,,
£
, + ,,
«
,+.,
*
0
km
2.06
14.62
km
2.05
14-54
km
2.08
14.81
IS
1.96
14.38
i-95
14-32
1.97
14-53
3°
1.67
13.66
1.66
13.61
1.67
13.76
45
1.27
12.77
1.26
12.64
1.26
12.70
60
0.8S
12. IO
0.82
11.67
0.82
11.65
75
0.44
12. OO
0.40
10.96
0.40
10.88
The agreement of the 1908 observations with those of Duner is remarkably close on the average. This
is especially true in the higher latitudes, the very region in which the probability of a variation in the
rotation period is mainly in question. Accordingly, we may conclude that the evidence furnished by this
comparison is decidedly against the existence of such a variation.
COEFFICIENTS OF FAYE's FORMULA.
In a discussion, however, advocating the existence of a variation in the sun's rate of rotation, Halm
maintains that Duner's observations themselves furnish evidence of such a variation (9), with a period of
about three years. In comparing the Edinburgh and Upsala results, Halm has made use of Faye's formula
v + z>i = (a — b sin2 </>) cos <j>
connecting the rotational velocity with the heliographic latitude. In this form, as will be shown later,
the 1908 observations give
v + vl = (2.053 ~~ o-546 sin2 <f>) cos <#>
Table 26 contains the values obtained by Halm for the coefficients a and b, with the Mount Wilson
values added for comparison.
TABLE 26. — COEFFICIENTS OF THE FA YE FORMULA.
OBSERVATIONS.
DATE.
a
b
Upsala ....
1899.5
1.98
0-57
1900-5
2. II
O.4O
1901.5
2.O9
0.79
Edinburgh . . .
1901.7
1902.5
I903-S
2.O6
1-973
2.036
O.7O
0.560
0.251
1904-5
2.075
O.27I
IQOS-S
1906.3
2.039
2.OIO
0-245
0.294
Mount Wilson . .
1907.0
1908.5
2-055
2-053
0.480
0.546
The Faye formula, as will appear later, does not fully satisfy the 1906-1907 observations, but the
approximation is sufficiently close for the purposes of this comparison.
On the basis of a three-year period, with a minimum near 1902.5, it is evident that 1908.5 should also
give a minimum value of a. Actually, however, it is nearly equal to the largest value obtained by Halm
between 1901 and 1906. Moreover, the value of a for 1907.0 is practically identical with that for 1908.5,
and decidedly larger than Halm's value for the neighboring epoch 1906.3. Similarly, the Mount Wilson
values of b are much larger than would be expected from comparison with the Edinburgh results, and are
decidedly opposed to the idea of a periodic variation in this quantity.
A third main objection to the conclusion that a real variation of the rotation period is indicated by the
differences between the results obtained from the two series of observations is closely connected with the
preceding. It is the fact that the 1908 observations are well represented by Faye's formula, while
the 1906-1907 results show systematic discordances of such size as to necessitate the use of an additional
constant in the equation. Since the results of Duner and the mean values obtained by Halm are well
represented by this formula, and it has additional support in the observations of the rotation period
of sun-spots, it seems improbable that the discordances given by the earlier series of observations can
be other than inherent in the results themselves. This is indicated by the discussion that follows.
A solution of the 1906-1907 results by least squares, weighting the observations according to their
number, gives the following form of Faye's equation :
v + Vi = (1.575 + 0.480 cos2 <£) cos <f>
This equation gives the residuals which appear in the third column of Table 27, the differences being
observed — computed.
Il6 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 27. — REPRESENTATION OF THE 1906-1907 OBSERVATIONS BY EMPIRICAL FORMULAE.
I
II
WEIGHT.
*. + .,)
AB
0.2
21
km
+ O.Oig
km
+ O.OIO
0
+ O.IO
7-7
IS
O.OOO
— 0.007
- 0.03
15.0
24
+ 0.003
+ O.OOI
+ 0.03
22.7
13
— O.OlS
— 0.014
— O.II
29.8
24
- 0.005
+ 0.005
+ O.O2
37-8
16
— O.O2I
— 0.008
— O.IO
44.6
23
— O.OII
O.OOO
- 0.03
52.7
18
— O.OOI
+ 0.004
+ 0.02
59-6
24
+ 0.009
+ 0.005
+ 0.03
65.6
20
+ O.OIO
— O.OO2
o.oo
75-i
33
+ O.O2I
O.OOO
+ 0.07
80.4
ii
+ 0.014
— 0.008
— 0.21
The residuals under I are so clearly systematic in character as to necessitate the addition of a term in
cos2 (/>. A solution by least squares with the inclusion of such a term gives the equation
v + v^ = (1.791 — 0.621 cos </> + 0.894 cos2 <£) cos </>
The corresponding equation for the angular velocity is
£ = i2°43 - 3°48 cos <j> + 5?68 cos2 </>
The equations for v + •vl and £ are derived independently and so are not convertible into one another by a
substitution. These equations give the residuals under II in Table 27, which evidently are not systematic
in character. A similar solution for the 1908 observations indicates that these are satisfied by the Faye
equation with sufficient accuracy. The formulae in this case are found to be
v + Oj = (1.507 + 0.546 cos2 <£) cos ((> % = io°57 + 4?O4 cos2 <£
The corresponding residuals are shown in Table 28.
In the highest latitudes the angular velocity changes very rapidly with the linear, which of course
accounts for the large value of the discordance in £ at 79. i. This point is of low weight. The residual at
44?8 is surprisingly large for a point of such high weight. In view of the simple character of the formula,
however, the size of the residuals is in general entirely satisfactory.
A comparison of the last formula with the corresponding equations of Duner and Halm will be of
interest. These are as follows :
Duner . . . £ = 10.60 + 4.21 cos2 $
Halm . . . . £ = 12.03 + 2.50 cos2 ^
Adams (1908) . . £ = 10.57 + 4-°4 cos2 <£
The agreement of the first term in the formulae of Duner and myself is remarkable, but probably is
somewhat accidental. It represents, of course, the angular velocity of rotation at the sun's pole, and
corresponds to a rotation period of 34.0 days.
In addition to solving each series of observations separately, I have obtained a mean result for the two
sets by combining the values for closely adjoining points of latitude and solving these values by least squares
with an equation of Faye's form. Equal weights have been assigned to the two series in the formation of
the means and the values then weighted in the solution according to the number of observations. The
results are as follows :
j) + v1 = (1.550 + 0.501 cos2 <£) cos <f> | = n°o4 + 3°5o cos2 $
PROBABLE ERRORS.
117
Table 29 contains the values on which the solution is based, and the residuals (observed — computed)
which are given by these two formulae. These residuals are small in amount, and there appears to be no
tendency to systematic effect in sign. This result evidently is due largely to the smoothing-out effect of
the 1908 observations.
TABLE 28. — REPRESENTATION OF 1908 OBSERVATIONS
BY FAYE'S FORMULA.
TABLE 29. — REPRESENTATION OF MEAN RESULTS FOR
1906-1907 AND 1908 BY FAYE'S FORMULA.
<t>
WEIGHT.
A(» + *,)
A£
0.4
21
km
+ O.OOg
+ 0-03
4.1
IS
- 0.005
— 0.06
II. 2
12
— 0.002
— 0.06
14.9
18
— O.OO5
— 0.06
IQ.2
14
— 0.016
-0.13
29.8
16
+ 0.004
+ o 04
34-1
IS
0.000
+ 0.01
44-8
i?
+ 0.023
+ 0.28
49.6
16
+ O.OII
+ 0.18
60. i
22
— 0.012
-0.08
65.0
17
— O.OO6
— O.OI
75-°
17
— O.OO3
+ O.O2
79.1
7 — 0.016
— 0.46
i
,
, + ,,
A(* + V
*
»
km
km
0
0.3
2.068
+ O.OI7
+ 0.13
7.6
2.019
— 0.004
— O.O2
i S-o
•95°
+ O.OOI
+ O.O2
20.9
•839
— O.OI7
— O.I2
29.8
.672
— O.OOI
O.OO
35-9
•5°9
— O.OII
— O.I I
44-7
.285
+ 0.004
+ 0.03
Si-2
.099
+ 0.003
+ O.O2
59-9
0.836
— 0.005
— O.O9
6S-3
0.683
— O.OOI
— O.O4
7S-o
0.416
+ 0.008
+ 0.17
79.8
0.275
- 0.003
— O.I4
14. PROBABLE ERRORS.
A comparison of the probable errors of the results of these determinations with the visual observations
of Duner and Halm is rendered rather difficult by the inherent difference in the nature of the methods
employed. The photographic results are based upon the measurement of a considerable number of lines,
the mean values of which are combined to give a single determination of the rotational velocity. In the
work of Duner and Halm only two lines were used, but from eight to twelve settings of the micrometer
wire were made upon each line. In the case of the photographic determinations four settings were made
in each position of the plate under the measuring microscope. It will be sufficient for general purposes to
compare the probable error for a single line on the photographic plate with the probable error for a single
visual determination, taken from a series equal in number to the lines on the photographic plate. This
should give a marked advantage to the visual results, since the mean of two lines is used, and a large num-
ber of settings employed on each of them. In the case of the photographic observations, however, such of
the lines as give marked systematic deviations should evidently be omitted when the probable error is
formed. Accordingly, six lines of this sort, the behavior of which has already been fully discussed, namely,
*• 4196, X 4197, X 4216, \ 4257, X 4266, and X 4290.38, are left out of consideration. This leaves a total of
fourteen lines for the 1906-1907 series and sixteen for the 1908 series. Plates taken at random from each
set give the following values :
SINGLE LINE. MEAN VALUE FROM PLATE.
1006-1907 r = ± 0.015 km ro= ^ 0.004 km
1908 r = i 0.009 ro = -*- 0.002
A series of determinations by Halm in 1903 (s) averaging fifteen observations for each latitude give
r = ± 0.070 km r 0 — ± 0.018 km
The earlier series of observations by Duner show probable errors about twice as large as those of Halm,
but for the completed series no values are given, though they are undoubtedly considerably smaller than
for the previous results. It should be noted that the photographic observations show somewhat larger
probable errors in the higher latitudes.
Il8 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
A comparison of these values indicates a marked gain in the degree of accuracy of the photographic
results over the visual. It is of course impossible to state how much of this gain is due to the more pow-
erful spectroscopic apparatus and the larger solar image employed, and how much to the use of the
photographic method, but it seems probable that both facts contribute materially to the result.
15. COMPARISON OF RESULTS FOR SUN-SPOTS, FACUL/E, FLOCCULI, REVERSING LAYER,
THE a LINE OF HYDROGEN, AND \4227 OF CALCIUM.
At the conclusion of this discussion of the rotation of the sun as determined from the displacements of
the lines in the reversing layer, it seems desirable to add a comparison with the values obtained by various
observers from sun-spots, faculae, and hydrogen and calcium flocculi. Such a comparison with the reversing
layer results of Duner and Halm has already been made by Hale and Fox in their discussion of the motion
of the calcium flocculi (19), and by Hale in his paper on the motion of the hydrogen flocculi (20). In
view of the additional material now available for the reversing layer, a repetition of these values will not
be out of place. The quantities, which are given in Table 30, are derived from empirical formulas where
these have been obtained ; in other cases they are taken from curves or found by interpolation from the
original observations. In the case of the work of Carrington, Spoerer, and Maunder on sun-spots, Duner
and Halm on the reversing layer, and Adams on the reversing layer, Ha and X 4227, empirical formula?
are available. In the form employed for calculation they are as follows :
Carrington
Spoerer
Maunder
Duner
Halm
Adams (mean of two series) £ = 11.04 + 3-5° cos2 4>
Adams \ 4227 £= 12.5 +2.4 cos2 <£
Adams H a £ = 13.6 + 1.4 cos2 <j>
TABLE 30. — COMPARISON OF ROTATION RESULTS FROM VARIOUS SOURCES.
= 14.42 - 2.75 sin?
= 8.55 + 5.80 cos i
= 12.43 + 2-CI cos2 '
= 10.60 + 4.21 cos2 '
= 12.03 + 2-S° cos2 '
<t>
SUN-SPOTS.
FACUL.E.
STRATO-
NOFF.
CALCIUM FLOCCULI.
HYDRO-
GEN
FLOC-
CULI.
REVERSING LAYER.
X4227
ADAMS.
Ha
ADAMS.
CARRING-
TON.
SPOERER.
MAUN-
DER.
HALE
AND Fox
(KEN-
WOOD).
Fox.
HALE,
MOUNT
WILSON.
MOUNT
WILSON.
DUNER.
HALM.
ADAMS,
Two
SERIES.
0
S
IO
15
20
25
3°
3S
40
45
SO
SS
60
6S
70
75
14.42
14-38
14.29
14.16
14.00
13.81
13.60
I3-38
H-35
14-32
14.26
I4-I5
14.00
13.80
13-57
I3-30
14.44
14-43
14.38
14-3°
14.19
14.06
13-91
13-74
14.62
14.61
14.46
14-24
14.18
14.14
13.84
14.70
14-59
14.44
I4-30
14.17
14.02
I3-83
I4-52
14.46
14-33
14.09
13.80
13.82
I3-83
14.42
14.38
14.32
14.28
14.27
14.17
13.98
14.04
13.92
14.6
14.81
14.78
14.68
14-53
14.32
14.06
I3-76
13.42
13-07
12.70
12.34
11.99
11.65
11-35
11.09
10.88
14-53
14.50
14.46
14-37
14-24
14.09
13.90
I3-70
13-50
13.28
13-07
12.86
12.66
12.48
12.32
12.20
H-54
14-51
14-43
14-31
14-13
13-91
13-67
13-39
13.09
12.79
12.49
12.19
11.92
11.67
11-45
11.27
14.9
14.8
14-3
13-7
I3-I
12.7
iS-o
14.9
14.6
H-3
13-9
13-7
SUMMARY OF ROTATION RESULTS.
As has already been stated, my own 1908 observations agree closely with Duner's in the higher lati-
tudes, but are smaller and nearer Halm's values in the lower latitudes. In Table 31 I have taken simple
means for the spot and flocculi results and compared them with the values obtained from my two series of
observations on the reversing layer. They are shown graphically in Fig. 2.
TABLE 31. — SUMMARY or ROTATION RESULTS FROM VARIOUS SOURCES.
0
SPOTS.
FACUL.S.
FLOCCULI.
REVERSING
LAYER.
O
0
14.40
14.62
H-55
o
14-54
5
14.38
14.61
14.48
14-51
10
I4-3I
14.46
14-36
14-43
15
14.20
14.24
14.22
14-31
20
14.06
14.18
14.08
14-13
25
13.89
14.14
14.00
i3-9i
30
13.69
13.84
13.88
13-67
35
13-47
13.81
13-39
Faculae
Reversing layer
Ca Flocculi -
Sun spots
14.6
14.4
I4TZ
14.0
13.8
13.6
13.4
I3.E
13.0
0° <$> 5° 10° 15° Z0° ZS° 30° 35" 40°
FIG. 2. — Curves showing the values of the angular velocity obtained from observations of sun-spots,
faculae, calcium flocculi, and reversing layer. Plotted from the results given in Table 31.
I2O AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
Attention has already been called by Mr. Hale to the comparatively small values of the angular veloc-
ity given by spots (19). The difference at the equator amounts to o?2 as compared with facuke. flocculi, or
reversing layer, and in view of the close accordance of the spot observations at this latitude the result is
probably to be considered as genuine. Similar differences, as compared with faculae and flocculi, are shown
in higher latitudes by the results of Carrington and Spoerer, but the inclusion of Maunder's larger values
in the mean conceals this effect. There seems to be a tendency for the reversing layer to give slightly larger
values than the flocculi between latitudes o° and 20°. This may be due, as Mr. Hale has suggested in his
discussion, to the possibility that the faculse and flocculi retain the velocities of the lower levels from
which they rise, but the differences are small and hardly sufficient to warrant a definite conclusion, espe-
cially in view of the considerable discordance among the separate flocculi determinations.
Another most interesting consideration is whether there appears to be any difference in the law of the
equatorial acceleration in the results given by the observations of the various objects on the sun's surface.
This is made especially important by the discovery of the remarkable differences in velocity shown by
spectroscopic observations of the hydrogen lines Ha and X 4227 of calcium, as well as observations of the
hydrogen flocculi with the spectroheliograph. Unfortunately, the results for both facuke and flocculi are
necessarily very uncertain above 30° of latitude. Accordingly, in order to secure as accurate a comparison
as seems possible with the material available, I have reduced the results for faculse, flocculi, Ha, and X 4227,
by a least-squares solution of Faye's formula, and plotted the corresponding results for every 5° of latitude.
The values for the reversing layer are from the formula representing the combined values of the two series
of observations. A difference in the rate of change of angular velocity with the latitude will be indicated
by a lack of parallelism in the resulting curves, and in order to show this more clearly the values have all
been reduced to the common origin of i4?5o. This necessitates the addition of constant quantities to the
sun-spot results and the subtraction of constant quantities from the other results. The comparison is
shown graphically in Fig. 3. One extrapolation has been made for the faculce and the flocculi.
The inspection of these results is of interest in many ways. The spots and the faculae give values which
are practically identical throughout, a result which is to be expected from the close relation of these objects
to the solar photosphere. Intermediate between these and the flocculi is X 4227, which shows notably less
equatorial acceleration. The calcium flocculi show still less, and Ha the least of all, the differences in its
case being very great indeed. Apart from the reversing layer these results are quite in harmony with
the commonly accepted views of the relative heights of the various gases in the sun's atmosphere. The
calcium flocculi, due to the bright reversals of the calcium lines H and K, are usually assumed to lie at a
considerable distance above the sun's photosphere, and probably at a higher level than the material producing
the blue line of calcium X 4227. Similarly, Ha, which rises to a very great height in the solar atmosphere,
gives in addition to very large absolute velocities a greatly reduced amount of equatorial acceleration.
In other words, these results are all satisfied by a law of increase of angular velocity and decrease of equa-
torial acceleration with increasing altitude above the sun's surface.
For the reversing layer the case is very different, however. Here the rate of change of velocity with
latitude is the most rapid of any observed, a result which on the basis of the reasoning given above would
require that the reversing layer lie below the level of sun-spots and faculae. This almost certainly can not
be the case, since the spectrum of faculae, and probably of spots, gives evidence of the presence of the ordi-
nary reversing-layer spectrum. At present there is no adequate explanation for this apparent anomaly,
but a suggestion is furnished by Wilsing's theoretical discussion of the law of the sun's rotation (21), a
memoir the bearing of which on the motion of the strata above the reversing layer has been referred to by
Mr. Hale (23). In the course of this discussion Wilsing arrives at the conclusion that owing to internal
friction a surface is reached in passing toward the center of the sun at which essentially uniform angular
velocity is attained. Similarly, above the solar photosphere another surface of uniform velocity is found,
and between these two surfaces the motion is compared by Wilsing to that of "a stream flowing between
COMPARISON OF ANGULAR VELOCITIES.
121
two fixed banks." On this basis it is evident that there would be a region at which the rate of change
of angular velocity with latitude would be a maximum, and that on either side of this region the change
would become less. Accordingly, if we may assume that the reversing layer corresponds to this region of
most rapid change, we may expect, on the one hand, the spots and faculae, which are nearer one of the sur-
faces of uniform velocity, and, on the other hand, X. 4227, the calcium flocculi, and Ha, whose level is nearer
the other surface, to give less equatorial acceleration, the amount diminishing in the order named. The
whole question is, however, extremely complex, the quantities concerned are small, except in the case of
Ha, and the difficulties involved in the explanation of the differences in the values of the absolute velocities
of rotation are correspondingly great. It will hardly be profitable to continue the discussion further until
additional observational material has placed the reality of these differences upon a more certain basis.
14.6
14.4
14.2
14.0
Ha at limb
Ca Flocculi
X 4-ZZ7
Sun spots
Faculae
Reversing layer
13.8
13.0
0? <t>
5?
15° aO? 25? 30° 35! 4-0? 45!
FIG. 3. — Curves showing variation of angular velocity with latitude for sun-spots, facute, calcium flocculi, reversing
layer, X 4227, and Ha.. To facilitate comparison the curves are all reduced to the common origin of I4!so.
Differences in the amount of equatorial acceleration are indicated by lack of parallelism in the curves.
122 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
16. A CASE OF LARGE PROPER MOTION IN THE REVERSING LAYER.
Reference was made at an earlier point in this discussion to the disturbing effect of proper motions
in the reversing layer upon determinations of rotational velocity. Such motions have frequently been
observed in the neighborhood of sun-spots, particularly across the faculae bordering the penumbra, but
it appears from the observations described below that they may extend to great distances from spots
as well.
On September 15, 1908, two spots of considerable size were nearing the west limb of the sun. The larger
of the two spots was at 11° north latitude, the other at 6° south latitude. Photographs taken with the
spectroheliograph through the a line of hydrogen had shown both spots to be surrounded by immense
regions of disturbance, with the filaments nearest the spots giving some evidence of vortical motion. Ob-
servations made by Mr. Hale during the passage of the spots across the sun's disk had indicated opposite
directions of polarization for the components of the double lines in the spot spectra, thus pointing to oppo-
site directions of rotation in the two spots, provided vortical motion were involved. The region between
TABLE 32. — OBSERVATIONS or PROPER MOTION IN THE REVERSING LAYER.
Plate w 173. 1908, Sept. 15, 6h 5™ G. M. T. Measured by L. on T. Distance from Limb 1.5 mm. Quality, good.
p-p
seci
o
I72-5
12.8
14.7
75-3
29.6
1.150
0-0
98.0
26.4
27.2
62.8
14.4
1.012
p
-24.4
44-8
45-3
44-7
10. 1
1.016
D
7-2
59-9
60.2
29.8
8.3
I.OIO
Diameter
170.6 mm
74-9
75-i
14.9
7-4
1.008
Factor
1.018
89.9
90.0
o.o
7.2
1.008
0 =
o°o
i
* =
.*
0 =
^
X
A
V
. + ,,
£
A
•
, + .,
t
A
•
. + ,,
s
4208.766
0.165
km
1.805
km
1.942
o
13-79
0.162
km
•775
km
.907
14.01
0.140
km
1-535
km
-655
13-54
4210.494
0.165
.805
1.942
13-79
0.164
•794
.926
14.14
0.140
1-535
-655
13-54
4216.136
0.162
.770
1.907
13-54
0.162
.768
.900
13-95
0.140
1-533
-653
13-52
4220.509
0.163
•779
1.916
13.60
0.163
-777
.909
14.02
0.140
1.531
.651
13.51
4222.382
0.165
.798
1-935
13-74
0.162
.766
.898
13-94
0.140
1-530
.650
13.50
4233.328
0.164
•775
1.912
13-57
0.163
.769
.901
13.96
0.142
i-54i
.661
13.59
4236.112
0.164
•775
1.912
13-57
0.163
1.768
.900
13-95
0.142
i-S4i
.661
13.59
4246.251
0.165
•783
1.920
13-63
0.163
1.766
.898
13-94
0.140
1.518
.638
13.40
4250.287
0.165
.781
1.918
13.62
0.161
1.741
1-873
I3-76
0.141
1.528
.648
13.48
4250.945
0.164
.770
1.907
13-54
0.163
1.762
1.894
I3-9I
0.140
i-Si?
•637
13.39
4254.505
0.167
.802
1-939
13-77
o.i 60
1.729
1.861
I3-67
0-137
1.483
.603
13.11
4257-815
0.162
•747
1.884
13-38
0.163
1.760
1.892
13.90
0-139
1-504
1.624
13.29
0 =
44?7
0 =
6*
0 =
75!3
4208.766
0.104
.146
.242
12.41
0.059
0.660
0.729
11.32
0.029
0-363
0-397
II. II
4210.494
0.104
.146
.242
12.41
0.058
0.650
0.719
11.17
0.028
0-351
0-385
10.77
4216.136
0.105
•155
.241
12.40
0.059
0.660
0.729
11.32
0.028
0-351
0.385
10.77
4220.509
0.106
-163
-250
12.57
0.058
0.645
0.714
11.09
0.028
0-351
0.385
10.77
4222.382
0.104
.142
-238
12.36
0.059
0.655
0.724
11.24
0.030
0-373
0.407
"•39
4233.328
0.107
1.168
.264
12.62
0.059
0-655
0.724
11.24
0.029
0-359
o.393
II.OO
4236.112
0.107
1.167
.263
12.61
0.060
0.665
0-734
11.40
0.029
0-359
0-393
II.OO
4246.251
0.105
1.146
.242
12.40
0.058
0.644
0-713
11.07
0.028
0.346
0.380
10.63
4250.287
0.104
I-I35
1.231
12.30
0.058
0.643
0.712
1 1. 06
0.028
0.346
0.380
10.63
4250.945
0.107
1.165
1.261
12-59
0.059
0-653
0.722
II. 21
0.029
0-358
0.392
10.97
4254.505
0.106
I-I54
1.250
12.48
0.058
0.642
0.711
11.04
0.028
0-345
0-379
10.60
4257-815
0.104
1.131
1.227
12.26
0.060
0.663
0.732
"•37
0.028
0-344
0-378
10.58
PROPER MOTION IN THE REVERSING LAYER.
123
the spots was in an extremely chaotic state, owing probably to the intermingling of the disturbances cen-
tered about the two spots.
Four plates of the region of the spectrum near X 4227 were taken on this date with the rotation apparatus
at latitudes ranging from o° to 75°, in steps differing by 15°. Accordingly, for one of the settings at o°,
a point 6° north of one of the spots fell upon the slit of the instrument ; for another, at latitude i4?9,apoint
4° north of the other spot. In the first case the point fell considerably east of the spot as welt. All of the
plates were taken in connection with the investigation of the motionof the calcium vapor giving rise to X 4227,
and their density was made greater than usual in order to facilitate settings upon this broad and hazy line.
As soon as the measurement of the plates was begun, it was found that the values at latitudes o° and 14.9
were very discordant, when compared with those regularly obtained. Therefore a list of lines suitable
for measurement was selected, since the regular list could not be used on account of the great density of
the negatives, and the plates were investigated separately. The results for these lines are shown in detail
in Table 32. The results for X4227 are given in Table 33.
TABLE 32. — OBSERVATIONS OF PROPER MOTION IN THE REVERSING LAYER — Continued.
Plate <•> 174. 1908, Sept. 15, 6h sm G. M. T. Measured by L. on T. Distance from Limb 1.5 mm. Quality, good.
[Plate constants are the same as for u 173.]
0 =
o?o
<t> =
I4!o
</> =
29^8
A
f
f + »,
(.
A
•c
tl + Dj
£
A
i>
» + ?,
£
4208.766
0.161
km
1.762
km
1.899
13-47
O.I 60
km
1-750
km
.882
13-83
0.140
km
1-543
km
1.663
o
13.60
4210.494
0.162
1.772
1.909
13-55
0.161
1.761
•893
13-91
0.141
1-553
I-673
13.69
4216.136
0.161
1-757
1.894
13-45
0.162
1.770
.902
13-97
0.141
1-543
1.663
13.60
4220.509
0.162
1.766
•903
I3-5I
o.i 60
1-745
.877
13-79
0.140
1-530
I-653
13-52
4222.382
0.163
1.776
•913
I3-58
0.162
.766
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13-94
0.142
•551
1.671
13-67
4233-328
0.162
1.758
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13-45
0.161
•749
.881
13.82
0.142
•538
1.658
13-56
4236.112
0.162
1-757
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13-44
0.162
•759
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13.89
0.142
•538
1.658
13-56
4246.251
0.162
1-752
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I3.4I
0.161
-743
.875
13-77
0.142
•537
I-657
13-56
4250.287
0.161
1.740
.877
13-33
0.161
.740
.872
'3-75
0.140
•515
I-635
13-38
4250.945
0.166
1.794
-931
I3-7I
0.162
•749
.881
13.82
0.141
•525
1.645
13.46
4254-505
0.162
1-749
.886
13-39
o.i 60
.729
.861
13-67
0.142
-536
1.656
13-55
4257.815
0.163
I-758
-895
13-45
0.162
.748
.880
13-81
0.141
•525
I-645
13.46
<t> =
44t7
•/> =
62!8
<t> =
75t3
4208.766
0.103
I-I34
1.230
12.29
0.059
0.659
0.728
11.31
0.030
0-374
0.408
11.41
4210.494
O.IO2
1.124
1.220
I2.I9
0.059
0.659
0.728
11.31
0.030
0-374
0.408
11.41
4216.136
0.105
1.141
1-237
12.36
0.059
0.658
0.727
11.29
0.030
0-373
0.407
"-39
4220.509
0.103
1.131
1.227
12.26
0.060
0.668
0-737
n-45
0.030
0-373
0-407
"•39
4222.382
O.IO4
1.141
1-237
12.36
0.060
0.668
0-737
"•45
0.030
0-373
0.407
"•39
4233-328
0.103
1.124
I.22O
12.19
0.059
0-654
0.723
11.23
0.031
0.380
0.414
11.58
4236.112
O.I 06
I.I59
1.255
12-54
0.060
0.664
0-733
11.38
0.032
0-393
0.427
"•95
4246.251
0.103
1. 122
1.218
12.17
0.06 1
0-675
0-744
11.56
0.031
0.380
0.414
11.58
4250.287
0.104
I.I32
1.228
12.26
0.060
0.663
0-732
"•37
0.029
0-357
0.391
10.94
4250.945
0.105
I.I4I
1.237
12.36
0.060
0.663
0.732
"•37
0.029
0-357
0.391
10.94
4254-505
0.105
I.I4I
1.237
12.36
0.059
0.653
0.722
II. 21
0.032
0.392
0.426
11.92
4257-815
0.105
I.I4I
1.237
12.36
0.060
0.663
0-732
"•37
0.030
0.369
0.403
11.27
124 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
TABLE 32. — OBSERVATIONS or PROPER MOTION IN THE REVERSING LAYER — Continued.
Plate 10175. 1908, Sept. 15, 7h iom G. M. T. Measured by L. on T. Distance from Limb 1.5 mm. Quality, good.
[Plate constants are the same as for w 173.]
0 = 0°0
0 = i4!g
0 = 39:8
A
11
. + »!
f
A
V
» + »,
«
A
V
,-M,
1
km
km
0
km
km
°
km
km
0
4208.766
o.i 68
1.836
1-973
14.01
0.163
1.785
.917
14.08
0.141
•547
. 1.667
13.64
4210.494
o.i 66
1.815
13.86
0.164
1.794
.926
14-15
0.141
•546
1.666
13.63
4216.136
0.166
1.813
1.950
13.84
0.163
1.782
.914
14.06
0.142
•553
I-673
13.69
4220.509
0.166
1.812
1.949
13.84
0.164
1.789
.921
14.11
0.141
•543
1.663
13.61
4222.382
o.i 68
1.830
1.967
13.96
0.164
1.788
.920
14.10
0.142
•551
1.671
13.67
4233-328
0.167
.813
1.950
13.84
0.164
1.782
.914
14.06
0.142
•546
1.666
13.63
4236.112
0.169
.833
1.970
13.99
0.165
1.791
•923
14-13
0.142
•544
1.664
13.63
4246.251
0.172
.855
1.992
14.14
0.164
J-774
1.906
14.00
0.142
•542
1.662
13.62
4250.287
o.i 66
•794
13-71
0.163
1.762
1.894
13.91
0.142
•539
1.659
13.57
4250.945
0.167
•803
1.940
13-77
0.164
1.772
1.904
13.99
0.142
•537
I-657
13.56
4254.505
o.i 68
-813
1.950
13.84
0.164
1.771
1.903
13.98
0.143
•546
1.666
13-63
4257-815
0.167
.802
1-939
13.77
0.165
1.781
1.917
14.05
0.142
-536
1.656
13-55
0 = 44?7
0-62!8
0 = 75?3
4208.766
O.IO2
.123
.219
12. 18
0.058
0.650
0.719
ii. 17
0.028
0-349
0-383
10.72
4210.494
O.IOI
•"3
.209
12.08
0.060
0.669
0.738
11.46
0.027
0-339
0-373
10.44
4216.136
O.IO2
.122
.218
12.17
0.059
0.659
0.728
11.31
0.028
0-349
0.383
10.72
4220.509
O.IO2
.121
.217
12. l6
0.058
0.648
0.717
11.14
0.027
0-338
0.372
10.41
4222.382
0.102
.120
.216
12.14
0.058
0.648
0.717
11.14
0.028
0.348
0.382
10.69
4233-328
0.103
.121
.217
12. l6
0.059
0-653
0.722
II. 21
0.028
0.346
0.380
10.63
4236.112
0.103
.121
.217
12. l6
0.059
0-653
0.722
II. 21
0.027
0.336
0.370
10.35
4246.251
O.IO2
.no
.206
12.05
0.058
0.642
0.711
II.O4
0.027
0-335
0.369
10.32
4250.287
0.102
.110
.206
12.05
0.058
0.642
0.711
11.04
0.028
0.346
0.380
10.63
4250.945
o 104
.130
.226
12.24
0.057
0.632
0.701
10.89
0.028
0.346
0380
10.63
4254.50S
0.104
.130
.226
12.24
0.060
0.663
0.732
n-37
0.028
0.346
0.380
10.63
4257-815
O.IO2
.108
.204
12.03
0-057
0.630
0.699
10.86
0.027
0-335
0.369
10.32
Plate w 176. 1908, Sept. 15, 7h iom G. M. T. Measured by L. on T. Distance from Limb 1.5 mm. Quality, good.
[Plate constants are the same as for u 173.]
0 » O°O
0 = I4?0
0 = 2Q!8
A
V
. + »,
f
A
V
• + »,
t
A
V
r + r,
£
km
km
0
km
km
o
km
km
0
4208.766
0.166
1.816
1-953
13.87
0.163
1.784
1.916
14.08
0.142
i-SSS
1-675
13-70
4210.494
0.165
1.805
1.942
13.79
0.163
1.783
1.915
14.07
0-143
•565
.685
13-79
4216.136
o.i 66
1.812
1.949
13.84
0.163
1.780
1.912
14.04
0.142
•553
-673
13.69
4220.509
o.i 66
.811
1.948
13.83
0.164
1.789
1.921
14.11
0.141
•542
.662
13.60
4222.382
0.167
.820
1-957
13.89
0.163
1.777
1.909
14.02
0.142
•551
.671
13-67
4233.328
o.i 66
.803
1.940
13.77
0.163
-771
I-903
13.98
0.142
•544
.664
13.61
4236.112
0.167
.809
1.946
13.82
0.165
.790
1.922
14.12
0.142
1-543
•663
13.61
4246.251
o.i 68
.817
1-954
13.88
0.163
.768
1.900
13.96
0-143
1-552
.672
13.68
4250.287
o.i 68
.816
1-953
13.87
0.163
.763
1.895
13-92
0.142
1-538
.658
13.56
4250.945
0.169
.824
1.961
13.92
0.164
-771
1.903
13.98
0.142
1-537
.657
13.56
4254.505
o.i 68
.813
1.950
13.85
0.163
•759
1.891
13.89
0-143
1.546
1.666
13.63
4257.815
0.167
.802
1-939
13.77
0.162
1.748
1.880
13.81
0.142
I-536
1.656
13.55
0 = 44?7
0 = 62!8
0 = 7S?3
4208.766
O.IO2
•125
1. 221
12. 2O
0.059
0.662
0-731
"•35
0.028
0-351
0.385
10.77
4210.494
O.IO4
.146
.242
12.40
0.060
0.672
0.741
11.51
0.029
0-363
0-397
II. II
4216.136
0.103
•134
.230
12.28
0.060
0.671
0.740
11.49
0.030
0-374
0.408
11.41
4220509
O.IO2
.121
.217
12. l6
0.059
0.660
0.729
11.32
0.029
0-359
0-393
II.OO
4222.382
O.IO2
.I2O
.216
12.14
0.060
0.669
0.729
11.32
0.028
0.348
0.382
10.69
4233.328
0.103
I.I27
.223
12.22
0.059
0.656
0.725
11.26
0.029
o.347
0-381
10.66
4236.112
0.103
I.I26
.222
12. 2O
0.058
0.644
0.7I3
11.07
0.030
0-357
0.391
10.94
4246.251
O.IO2
I.II4
.2IO
I2.O9
0.058
0.643
0.712
11.05
0.028
0.346
0.380
10.63
4250.287
0.103
1. 121
I.2I7
12. l6
0.060
0.663
0.732
"•37
0.029
0.346
0.380
10.63
4250.945
O.IO2
i. no
1. 206
12.05
0.060
0.662
0-731
"•35
0.030
0-356
0.390
10.91
4254.505
0.103
I.I2O
1.216
12.15
0.059
0.652
0.721
11.20
0.028
0-345
0-379
10.60
4257.815
O.IO2
I. no
1. 206
12.05
0.058
0.642
0.711
11.03
0.028
0-345
0-379
1 0.60
PROPER MOTION IN THE REVERSING LAYER.
125
The combination of these results gives the values of v + vv shown in Table 33, the normal values in
each case being added for comparison. The latter are from the 1908 observations.
TABLE 33. — PROPER MOTION IN THE REVERSING LAYER.
REVERSING LAYER.
X4227
DISTURBED.
NORMAL.
DISTURBED.
NORMAL.
0.0
km
1-930
km
2.063
km
2.OI
km
2.12
14.9
1.899
1.944
1.97
2.O2
29.8
1.666
1.669
i-73
1-75
44-7
1.240
1.289
i-3i
1.36
62.8
0.724
0.740
0.84
0.82
75-3
0.389
0.387
0.48
0.49
At latitude 30° and above that point it is seen that the results obtained from these plates agree fairly
well with the normal, although the differences at latitude 44^7 are unusually large. At i4°9, however,
there is a difference of 0.045 km for the reversing layer, and at o° a difference of 0.133 km, the values given
by these plates being the smaller. The results for X 4227 are very similar. In other words, proper
motions of the reversing layer toward the observer at the west limb of the sun of 0.05 km in one case and
0.13 km in the other are indicated, if we assume, as seems altogether probable, that the entire difference is
due to the disturbances near the west limb. The direction of motion at the first of these points, i4?9, is in
accordance with what would be expected if vortical motion occurred in the northern spot in the direction
indicated by polarization observations and photographs with the spectroheliograph. These point to a
direction of motion counter-clockwise as seen from above. Accordingly, at a point north of this spot,
the motion would be toward the observer, and the rotational velocity reduced.
In the case of the second spot an opposite direction of motion is indicated by polarization observations,
and we should accordingly expect, for a point north of this spot, motion away from the observer. This is
opposed to what is found. It is doubtful, however, whether this lack of agreement is more than apparent.
The slit setting in this case was 6° away from the spot, and considerably east of it as well. It also fell
on a greatly disturbed region between the two spots, where it is by no means certain that any well-defined
direction of motion would predominate. In any case it is clear that a large amount of observational ma-
terial would be necessary to settle the question of vortical motion about spots by means of spectroscopic
observations of the reversing layer, since the quantities involved are considerably smaller than would be
expected, provided any definite motion of this sort, in which the reversing layer shares, actually exists.
The important fact as bearing on observations of the rotation of the sun is that large areas on the solar
surface may be affected with proper motions of such size as to introduce very serious errors into the results
when the areas happen to fall near the sun's limb. It seems very probable that the regions of greatest
disturbance, where the proper motions would be largest, are associated with spots ; but observations with
the spectroheliograph have shown that such disturbances may also exist where there are no spots. Fur-
thermore, an investigation by myself of the small pressure displacements at the sun's limb has led to the
conclusion that regions are sometimes found near the center of the sun in which there are ascending currents
in the reversing layer, showing motions of as much as 0.2 km. It is very probable that these regions may
have a lateral drift as well, in which case they would affect seriously observations of the rotation of the sun.
The possible bearing of these results on the two series of observations for 1906-1907 and 1908 has already
been noted. Although we should expect differences arising from this cause to be greatest in the zones of
spot activity, yet the existence of a few cases of proper motion in the higher latitudes might well affect the
rotational values materially, since the observations are not sufficiently numerous to eliminate their effect.
A similar cause may perhaps account in part for the difference found by Halm between the two series of
observations, 1901-1902 and 1903. In such a case the differences would represent rather the excess of the
126 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
effect of systematic proper motions in one series over that for the other than any real variation in the sun's
rate of rotation. The year 1903 was characterized by much greater spot activity than were the two pre-
ceding years. Accordingly, it might well happen that if the spots were accompanied by large areas of
disturbance, and the points observed did not chance to be symmetrically distributed about them, the aver-
age results might be affected by systematic differences. The whole question is doubtful, however, and the
main inference to be drawn is that in taking observations to determine the rotation of the sun, regions as
free as possible from disturbances should be selected and as large a number of observations as possible be
made, in order to reduce the effect of systematic proper motions.
17. DETERMINATION OF THE SOLAR ROTATION WITH THE a LINE OF HYDROGEN.
The details of the observations on the a line of hydrogen at the sun's limb and at points averaging 3 mm
inside the limb have been given in Tables 15-18 in Part I of this discussion. If we collect the values and
form normal places of latitude for the two series, we obtain Table 34.
TABLE 34. — -MEAN RESULTS FOR THE o LINE OF HYDROGEN.
AT LIMB.
3 MM INSIDE LIMB.
<t>
» + »,
{
PERIOD.
0
» + »,
J
PERIOD.
°
km
»
days
0
km
o
days
o-S
2.14
15-2
23-7
0.4
2. II
15-0
24.0
14.6
2.03
14.9
24.2
14.6
2.OO
14.7
24-S
2Q-5
I.78
I4.S
24.8
29.8
i-73
14.1
25-5
44.6
1.41
14.0
25-7
45-o
1.38
13.8
26.1
59-9
o-9S
13-5
26.7
60.3
0.90
13.0
27.7
7S-o
0.52
14.2
254
75-5
0.47
13-3
27.1
A comparison of the results in Table 34 shows that the rate of change of the motion is very rapid inward
from the limb, and that the points nearer the edge give not only larger absolute values, but also less change
of velocity with change of latitude. An effect of this sort would seem very probable from the consideration
that the level of effective absorption for points near the limb in the case of an element like hydrogen is
probably decidedly higher than that for points inside the limb. Direct evidence of this, although not of
very high weight, was furnished by the results obtained from some plates taken so close to the limb that
upon two of them the bright chromospheric line was shown. These plates gave very large values through-
out, and essentially no evidence of change of angular velocity with latitude.
TABLE 35. — COMPARISON OF RESULTS FOR o LINE OF HYDROGEN WITH THOSE FOR REVERSING LAYER.
Ha. AT LIMB.
Ha 3 MM INSIDE LIMB.
REVERSING LAYER.
0
r + »,
J
PERIOD.
f-t-tij
1
PERIOD.
v + vl
t
PERIOD.
0
km
o
days
km
o
days
km
o
days
0.5
2.14
15-2
23-7
2. II
15-0
24.0
2.06
14.6
24.6
14.6
2.03
14.9
24.2
2.00
14.7
24-S .
I-9S
14.3
2S.2
29-5
I.78
14-5
24.8
i-73
14.1
25-5
1.67
13-7
26.4
44.6
I.4I
14.0
25-7
1-39
13.8
26.0
1.29
12.9
27.9
59-9
o-9S
13-5
26.7
0.92
13-0
27.8
0.81
ii-S
31-3
75-°
0.52
14.2
25-4
0.48
13-3
27.1
0.40
10.9
33-1
In order to compare the results of the two series on the a line of hydrogen with each other and with
those given by the reversing layer, the values in Table 34 are reduced to the same latitude and collected
in Table 35 along with the reversing layer results. The latter are from the 1908 observations.
ROTATION DERIVED FROM X 4227 OF CALCIUM.
127
An inspection of the results in Table 35 leads to two important conclusions. First, that the absolute
velocity of rotation given by Ha is much higher than that found for the reversing layer. Second, that the
law of change of angular velocity with latitude is quite different, the velocity being more nearly uniform,
or the equatorial acceleration less, than in the case of the reversing layer.
As has been stated previously, it seems probable that the explanation of these results is to be found in
the comparatively high level occupied by hydrogen gas in the sun's atmosphere. The change of angular
velocity with latitude which, as we have seen, appears to be most rapid for the reversing layer, sun-spots,
and facuhe, is almost certainly connected to some extent with the effects of internal friction. This fric-
tion no doubt decreases outward from the photosphere, with the result that for the higher gases the ten-
dency is toward a more nearly uniform rate of rotation in all latitudes. Similarly, as the effect of friction
is reduced, the higher gases tend to acquire greater velocities, the tendency toward orbital motion gradually
becoming stronger. It would of course be necessary to go to immense distances from the sun, certainly
beyond the corona, before the motion could in any sense be considered truly orbital, but a tendency in this
direction might well begin at a comparatively low level. It is of interest to note in this connection that
Campbell's result for the rotation of the corona indicates a very short period. Thus Campbell writes (22) :
The difference of the determinations for the E. and W. sides is o.i i t.m. (Angstrom), corresponding to a relative velocity
in the line of sight for the two sides of 6.2 km, and a rotational velocity of 3.1 km per second. However, I regard this last
result as subject to a possible error of at least ± 2 km per second, partly on account of unavoidable errors of observation, but
principally on account of the character of the bright line.
A linear rotational velocity of 3.2 km corresponds to a daily angular motion of about 22??, or to a period
of rotation of 15.9 days. It seems probable from the Ha results that at the level of even the lowest parts of
the corona very little equatorial acceleration would be found.
The marked difference in the behavior of Ha at the sun's limb as compared with the violet lines of
the hydrogen series makes it probable that a difference in the level of effective absorption is involved.
Accordingly, I have made a few attempts to measure the rotational velocity given by the Hy line.
The results appear to indicate that Hj gives values averaging about 0.05 km less than Ha, but they are
of extremely low weight on account of the difficulty of measurement of this line. The recent studies by
Hale and Ellerman of the hydrogen flocculi photographed with the different lines of the hydrogen series
would indicate that some such effect might be expected (23).
18. DETERMINATION OF THE SOLAR ROTATION WITH X 4227 OF CALCIUM.
The details of the observations on the line X 4227 of calcium and summaries of the results are given in
Tables 19 and 20 of Part I. If we combine the values about normal points of latitude, we obtain the results
found in Table 36. The reversing layer values from the observations of 1908 are added for comparison.
TABLE 36. — COMPARISON OF RESULTS FOR \422^ OF CALCIUM WITH THOSE FOR REVERSING LAYER.
X4227
REVERSING LAYER.
0
ti + Jij
t
PERIOD.
» + »,
I
PERIOD.
•
km
o
days
km
o
days
°-4
2.12
15-1
23.8
2.06
14.6
24.6
IS-O
2.O2
14.8
24-3
1.94
14-3
2S-2
29.9
1-75
14.3
25.2
1.67
13.6
26.4
44-9
1.36
13.6
26.5
1.29
12.9
28.0
60.0
0.88
12-5
28.8
0.81
"-S
31-3
74-8
0.49
13-3
27.1
0.40
10.9
33-0
These results indicate that the calcium gas producing X 4227, like hydrogen, moves more rapidly than
the reversing layer, and shows less change of velocity with increasing latitude. The differences are less,
128 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
however, than for hydrogen near the limb, and approximately equal to those for hydrogen taken at a dis-
tance of 3 mm inside the limb.
An investigation of two calcium lines in the less refrangible part of the spectrum has been made by Perot
with interference apparatus (17). Preliminary values of the angular velocity given by him are as follows :
X
0=0°
<t> = 45-7
5349-6
6122.4
15-1
14-7
14.2
14.2
Mean
14.9
14.2
At the equator these results are identical with those obtained here for X 4227, but at 45° they are con-
siderably larger. They may, of course, be modified considerably by more complete results, but it seems
doubtful whether the entire difference will disappear. If it persists, it would seem to indicate a higher aver-
age level for these lines than for X 4227. The broad wings of the latter line point to a region of consider-
able density and consequently of low level for their origin, but there can be but little doubt that the central
portion of the line rises to a considerable altitude. Moreover, the size of pressure displacements found for
the two less refrangible lines at the sun's limb would appear to argue against a very high level origin (24).
All three of the lines are found in the spectrum of the chromosphere.
VtV,
Km
7.20
2.00
1.80
^^^SSs^,
^5S-».
Uniform angular
Ha at limb
velocity
""""-C^T"'-^
l§5^>
\ 42Z7
Reversing layer — —
1.60
o^^s.
1.40
^xj^
^x
1.20
x^>
\xx
1.00
^
0.80
\^
0.60
^:^%
\
0.40
^
N^
0.20
X^
Sk
VfV,
0.00
"V
0 9 ID" ZO- 30' 40- 50°
i- -,
— • «• 80*
FIG. 4. — Variation of radial velocity with heliographic latitude for the different lines observed. The curve for the reversing layer is
fronUhe mean results for the two series of observations. The radial velocity curve of a body rotating uniformly with a motion
of 15^0 a day is added for comparison.
COMPARISON OF RESULTS.
129
19. COMPARISON OF RESULTS FROM ALL THE LINES INVESTIGATED.
A remarkable feature of the results for ^ 4227 and the two series on the a line of hydrogen is the sudden
increase in angular velocity between 60° and 75° of latitude. Too much stress should perhaps not be laid
upon this, since in high latitudes the angular velocity is extremely sensitive to small differences in linear
velocity ; and with lines as difficult of measurement as these the entire effect could readily be laid to this
source. A change of 0.018 km at 75°, for example, would reduce a value of f of i4?o to i3?S- A similar
effect, however, was found for the lines of lowest level in the reversing layer, the lines of lanthanum and
cyanogen giving exceptionally large deviations in the higher latitudes and in directions opposite to those
found for these high-level lines. Accordingly, there seems to be a slight presumption in favor of the
existence of some cause toward the pole of the sun which tends to make the deviations from the mean
exceptionally large for such lines as give abnormal values.
The results for the two series of observations on Ha, for \ 4227, and for the reversing layer are shown
graphically in Fig. 4. The fifth curve, indicated by a dotted line, represents the curve of linear velocity of
a body rotating with the uniform angular velocity of i5?o a day. It is, of course, the ordinary cosine curve.
In conclusion, it will be of interest to give a graphical representation of the results found in this inves-
tigation for all the lines studied. Accordingly, I have collected the formulas which represent the solution
by least squares of the values of the angular velocity obtained for the reversing layer, Ha, and \4227, and
14.5
14.0
13.5
13.0
IZ.5
11.5
V
Ha at limb
Her within limb
A, 4227
Reversing layer
\
80°
90*
" 0° <t> 10° 20° 30° 40° 50° 60° 70°
FIG. 5. — Curves representing the values of the angular velocity given by the empirical formula:
derived from the observations of Ha., \ 4227, and the reversing layer. For the last named the
mean of the two series of observations is used.
130 AN INVESTIGATION OF THE ROTATION PERIOD OF THE SUN BY SPECTROSCOPIC METHODS.
have plotted the results for latitudes o° to 75° in Fig. 5. The formula obtained from the mean results
for the two series of observations has been employed for the reversing layer.
Reversing layer ...... £= 11.04 + 3-5° cos2 $
X 4227 ......... £ = 12.5 +2.4 cos2<£
Ha (within limb) ..... f = 12.8 +2.0 cos2<£
Ha (limb) ........ £=13-6 +1.4 cos2^)
The numerical values of the angular velocity resulting from these equations are shown in Table 37 for
every 15° of latitude. The values given for the pole are extrapolations based on the formulae, and are, of
course, subject to great uncertainty. An investigation of the region between latitude 75° and the pole
undertaken with powerful apparatus would prove of great value in deciding many questions connected
with the law of the sun's rotation.
TABLE 37. — FINAL RESULTS FOR THE ANGULAR VELOCITY.
<t>
REVERSING
LAYER
X 4227
Ha
(INSIDE LIMB)
Ha.
(LIMB)
o
14-54
14.9
14.8
15.0
IS
I4-3I
14.8
14.7
14.9
3°
13-67
14-3
14-3
14.6
45
12.79
13-7
13-8
14-3
60
11.92
13-1
13-3
13-9
75
11.27
12.7
13.0
13-7
Pole
(11.04)
(12.5)
(12.8)
(13.6)
20. GENERAL SUMMARY.
The principal results of this investigation may be summarized as follows :
1. Two series of observations of the rotation of the sun made during 1906-1907 and 1908 give results
agreeing closely with one another in latitudes o° to 50°. Above 50° the 1908 observations give smaller
values, the greatest difference being at 70° and amounting to about 0.039 km.
2. These differences are probably to be ascribed to small systematic errors in the earlier series of
observations arising from the character of the solar image. They may possibly be ascribed in part to
proper motions in the sun's reversing layer.
3. The evidence from these results is opposed to the existence of a variation in the sun's rate of rotation,
unless the variation be of long period. Not only is there no appreciable difference between the two series
of observations in the lower latitudes and the regions of greatest spot activity, but the agreement of the
1908 results with the values of Duner make a variation during the interval very improbable.
4. Both series of observations agree in showing that the lines of different elements give different values
of the rotational velocity. Lines of lanthanum and cyanogen give low velocities. These elements are
known to lie at low levels in the solar atmosphere. Certain lines of manganese and iron give high velocities.
5. Lines which give systematically large or small values of the velocity appear to give the largest devia-
tions from the mean in high latitudes.
6. The 1908 observations are satisfactorily represented by an empirical formula of the Faye type.
The 1906-1907 observations show a tendency to systematic residuals with an equation of this form, and
require the addition of another term for adequate representation. The combined results for the two
series are very closely represented by the formula
SUMMARY OF RESULTS. 131
7. The fact that these observations, as well as those of Duner and Halm, are satisfied by the Faye
equation indicates that this represents with a considerable degree of accuracy the law of the sun's rotation
to within 10° of the pole.
8. A comparison of the probable errors of the 1906-1907 observations with those of the 1908 series
indicates a marked gain in accuracy for the latter. The results for both series appear to show a decided
superiority for the photographic method over the visual so far as the degree of accuracy is concerned.
9. The displacements of the spectrum lines may be influenced seriously by proper motions of the re-
versing layer. These may be very large in the neighborhood of the disturbed regions which are usually
associated with sun-spots. A value amounting to 0.2 km has been observed in one such case. It is most
important that in observations of the rotation of the sun such regions should be avoided so far as possible.
10. A study of the a line of hydrogen shows that the gas producing this line movesat a muchmore rapid
rate than the general reversing layer, and that the change of angular velocity with increasing latitude is
very much less. At the equator the difference from the reversing layer is about o°5, while at 75° of lati-
tude it amounts to over 2.5.
1 1 . The results for the angular velocity obtained from Ha at a short distance inside the limb are appre-
ciably smaller than those for the line at the limb. This is probably due to the lower average level of the
gas involved in the formation of the line within the limb.
12. The line X 4227 also gives decidedly larger values of the rotational velocity than do the lines of the
reversing layer. The values are, however, smaller than for Ha at the sun's limb, and not far from equal to
those for Ha within the limb. The equatorial acceleration is considerably greater for X 4227 than for Ha
at the limb.
13. The observations on both Ha and X 4227 appear to indicate an increase in the angular velocity near
the sun's pole. This is the converse of the result found for the lines of the reversing layer which give
abnormally low values, and may perhaps be a genuine effect.
14. The comparison of the results on Ha, X 4227, and the lines of the reversing layer shows that the
observations are all satisfied by a law of rotation in which the velocity increases and the equatorial accelera-
tion decreases with increasing distance outward from the sun's surface. The cause of this probably lies
in the effects of friction in the lower portions of the solar atmosphere.
15. Comparison with the results for sun-spots, faculae, and the calcium flocculi gives the following
sequence in order of decreasing equatorial acceleration : spots and faculas, X 4227, calcium flocculi, Ha.
The reversing layer, however, shows a greater amount of equatorial acceleration than any of these. If we
assume, in accordance with Wilsing's theory, that there are two surfaces of constant angular velocity in the
case of a rotating body such as the sun, it is possible that the reversing layer may lie in the position where
the departure from this condition is a maximum. On this basis the spots and faculae which lie near the
inner surface of uniform velocity, and X 4227, the calcium flocculi, and Ha, which lie nearer the outer
surface, would all show less equatorial acceleration.
I am under the greatest obligation to Mr. Hale for many suggestions during the progress of this inves-
tigation and for a deep interest in it. Among the numerous advances in solar spectroscopy made possible
by his design and construction of the tower telescope is to be included the marked gain in accuracy of the
later series of observations of the rotation of the sun. I am also greatly indebted to Miss Lasby and to
Miss Waterman, of the Computing Division, for aid in the measurement and reduction of the plates.
The measurement of many of the plates has been carried out by Miss Lasby alone, and a large part
of the great labor involved in their reduction and in the solution of the empirical formulae has been divided
between Miss Lasby and Miss Waterman.
132
BIBLIOGRAPHICAL REFERENCES.
BIBLIOGRAPHICAL REFERENCES.
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